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Finding the Third Proportional to 58,331 and 124,924

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Solution

The third proportional to 58,331 and 124,924 is: 267,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,331 : 124,924 = 124,924 : x
  2. Step 2: Convert to fraction form
    58,331/124,924 = 124,924/x
  3. Step 3: Cross multiply
    58,331x = 124,924 × 124,924
  4. Step 4: Simplify right side
    58,331x = 15,606,005,776
  5. Step 5: Solve for x
    x = 15,606,005,776/58,331
  6. Step 6: Final answer
    x = 267,542.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.