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Finding the Third Proportional to 60,113 and 131,566

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Solution

The third proportional to 60,113 and 131,566 is: 287,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,113 : 131,566 = 131,566 : x
  2. Step 2: Convert to fraction form
    60,113/131,566 = 131,566/x
  3. Step 3: Cross multiply
    60,113x = 131,566 × 131,566
  4. Step 4: Simplify right side
    60,113x = 17,309,612,356
  5. Step 5: Solve for x
    x = 17,309,612,356/60,113
  6. Step 6: Final answer
    x = 287,951.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.