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Finding the Third Proportional to 62,643 and 95,949

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Solution

The third proportional to 62,643 and 95,949 is: 146,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,643 : 95,949 = 95,949 : x
  2. Step 2: Convert to fraction form
    62,643/95,949 = 95,949/x
  3. Step 3: Cross multiply
    62,643x = 95,949 × 95,949
  4. Step 4: Simplify right side
    62,643x = 9,206,210,601
  5. Step 5: Solve for x
    x = 9,206,210,601/62,643
  6. Step 6: Final answer
    x = 146,963.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.