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Finding the Third Proportional to 59,165 and 88,775

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Solution

The third proportional to 59,165 and 88,775 is: 133,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,165 : 88,775 = 88,775 : x
  2. Step 2: Convert to fraction form
    59,165/88,775 = 88,775/x
  3. Step 3: Cross multiply
    59,165x = 88,775 × 88,775
  4. Step 4: Simplify right side
    59,165x = 7,881,000,625
  5. Step 5: Solve for x
    x = 7,881,000,625/59,165
  6. Step 6: Final answer
    x = 133,203.76

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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.