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Finding the Third Proportional to 59,992 and 89,657

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Solution

The third proportional to 59,992 and 89,657 is: 133,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,992 : 89,657 = 89,657 : x
  2. Step 2: Convert to fraction form
    59,992/89,657 = 89,657/x
  3. Step 3: Cross multiply
    59,992x = 89,657 × 89,657
  4. Step 4: Simplify right side
    59,992x = 8,038,377,649
  5. Step 5: Solve for x
    x = 8,038,377,649/59,992
  6. Step 6: Final answer
    x = 133,990.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.