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Finding the Third Proportional to 62,572 and 134,924

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Solution

The third proportional to 62,572 and 134,924 is: 290,936.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,572 : 134,924 = 134,924 : x
  2. Step 2: Convert to fraction form
    62,572/134,924 = 134,924/x
  3. Step 3: Cross multiply
    62,572x = 134,924 × 134,924
  4. Step 4: Simplify right side
    62,572x = 18,204,485,776
  5. Step 5: Solve for x
    x = 18,204,485,776/62,572
  6. Step 6: Final answer
    x = 290,936.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.