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Finding the Third Proportional to 62,522 and 131,578

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Solution

The third proportional to 62,522 and 131,578 is: 276,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,522 : 131,578 = 131,578 : x
  2. Step 2: Convert to fraction form
    62,522/131,578 = 131,578/x
  3. Step 3: Cross multiply
    62,522x = 131,578 × 131,578
  4. Step 4: Simplify right side
    62,522x = 17,312,770,084
  5. Step 5: Solve for x
    x = 17,312,770,084/62,522
  6. Step 6: Final answer
    x = 276,906.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.