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Finding the Third Proportional to 59,542 and 89,249

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Solution

The third proportional to 59,542 and 89,249 is: 133,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,542 : 89,249 = 89,249 : x
  2. Step 2: Convert to fraction form
    59,542/89,249 = 89,249/x
  3. Step 3: Cross multiply
    59,542x = 89,249 × 89,249
  4. Step 4: Simplify right side
    59,542x = 7,965,384,001
  5. Step 5: Solve for x
    x = 7,965,384,001/59,542
  6. Step 6: Final answer
    x = 133,777.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.