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Finding the Third Proportional to 53,738 and 75,542

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Solution

The third proportional to 53,738 and 75,542 is: 106,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738 : 75,542 = 75,542 : x
  2. Step 2: Convert to fraction form
    53,738/75,542 = 75,542/x
  3. Step 3: Cross multiply
    53,738x = 75,542 × 75,542
  4. Step 4: Simplify right side
    53,738x = 5,706,593,764
  5. Step 5: Solve for x
    x = 5,706,593,764/53,738
  6. Step 6: Final answer
    x = 106,192.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.