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Finding the Third Proportional to 60,438 and 131,629

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Solution

The third proportional to 60,438 and 131,629 is: 286,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,438 : 131,629 = 131,629 : x
  2. Step 2: Convert to fraction form
    60,438/131,629 = 131,629/x
  3. Step 3: Cross multiply
    60,438x = 131,629 × 131,629
  4. Step 4: Simplify right side
    60,438x = 17,326,193,641
  5. Step 5: Solve for x
    x = 17,326,193,641/60,438
  6. Step 6: Final answer
    x = 286,677.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.