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Finding the Third Proportional to 58,744 and 125,797

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Solution

The third proportional to 58,744 and 125,797 is: 269,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,744 : 125,797 = 125,797 : x
  2. Step 2: Convert to fraction form
    58,744/125,797 = 125,797/x
  3. Step 3: Cross multiply
    58,744x = 125,797 × 125,797
  4. Step 4: Simplify right side
    58,744x = 15,824,885,209
  5. Step 5: Solve for x
    x = 15,824,885,209/58,744
  6. Step 6: Final answer
    x = 269,387.26

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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.