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Finding the Third Proportional to 59,542 and 81,087

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Solution

The third proportional to 59,542 and 81,087 is: 110,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,542 : 81,087 = 81,087 : x
  2. Step 2: Convert to fraction form
    59,542/81,087 = 81,087/x
  3. Step 3: Cross multiply
    59,542x = 81,087 × 81,087
  4. Step 4: Simplify right side
    59,542x = 6,575,101,569
  5. Step 5: Solve for x
    x = 6,575,101,569/59,542
  6. Step 6: Final answer
    x = 110,427.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.