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Finding the Third Proportional to 60,340 and 132,551

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Solution

The third proportional to 60,340 and 132,551 is: 291,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,340 : 132,551 = 132,551 : x
  2. Step 2: Convert to fraction form
    60,340/132,551 = 132,551/x
  3. Step 3: Cross multiply
    60,340x = 132,551 × 132,551
  4. Step 4: Simplify right side
    60,340x = 17,569,767,601
  5. Step 5: Solve for x
    x = 17,569,767,601/60,340
  6. Step 6: Final answer
    x = 291,179.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.