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Finding the Third Proportional to 120,476.25 and 169,233.75

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Solution

The third proportional to 120,476.25 and 169,233.75 is: 237,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,476.25 : 169,233.75 = 169,233.75 : x
  2. Step 2: Convert to fraction form
    120,476.25/169,233.75 = 169,233.75/x
  3. Step 3: Cross multiply
    120,476.25x = 169,233.75 × 169,233.75
  4. Step 4: Simplify right side
    120,476.25x = 28,640,062,139.06
  5. Step 5: Solve for x
    x = 28,640,062,139.06/120,476.25
  6. Step 6: Final answer
    x = 237,723.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.