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Finding the Third Proportional to 59,840 and 90,592

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Solution

The third proportional to 59,840 and 90,592 is: 137,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,840 : 90,592 = 90,592 : x
  2. Step 2: Convert to fraction form
    59,840/90,592 = 90,592/x
  3. Step 3: Cross multiply
    59,840x = 90,592 × 90,592
  4. Step 4: Simplify right side
    59,840x = 8,206,910,464
  5. Step 5: Solve for x
    x = 8,206,910,464/59,840
  6. Step 6: Final answer
    x = 137,147.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.