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Finding the Third Proportional to 64,134 and 85,599

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Solution

The third proportional to 64,134 and 85,599 is: 114,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,134 : 85,599 = 85,599 : x
  2. Step 2: Convert to fraction form
    64,134/85,599 = 85,599/x
  3. Step 3: Cross multiply
    64,134x = 85,599 × 85,599
  4. Step 4: Simplify right side
    64,134x = 7,327,188,801
  5. Step 5: Solve for x
    x = 7,327,188,801/64,134
  6. Step 6: Final answer
    x = 114,248.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.