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Finding the Third Proportional to 120,214.13 and 173,250.56

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Solution

The third proportional to 120,214.13 and 173,250.56 is: 249,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214.13 : 173,250.56 = 173,250.56 : x
  2. Step 2: Convert to fraction form
    120,214.13/173,250.56 = 173,250.56/x
  3. Step 3: Cross multiply
    120,214.13x = 173,250.56 × 173,250.56
  4. Step 4: Simplify right side
    120,214.13x = 30,015,757,406.57
  5. Step 5: Solve for x
    x = 30,015,757,406.57/120,214.13
  6. Step 6: Final answer
    x = 249,685.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.