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Finding the Third Proportional to 120,693 and 180,229.50

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Solution

The third proportional to 120,693 and 180,229.50 is: 269,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,693 : 180,229.50 = 180,229.50 : x
  2. Step 2: Convert to fraction form
    120,693/180,229.50 = 180,229.50/x
  3. Step 3: Cross multiply
    120,693x = 180,229.50 × 180,229.50
  4. Step 4: Simplify right side
    120,693x = 32,482,672,670.25
  5. Step 5: Solve for x
    x = 32,482,672,670.25/120,693
  6. Step 6: Final answer
    x = 269,134.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.