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Finding the Third Proportional to 75,732 and 117,599

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Solution

The third proportional to 75,732 and 117,599 is: 182,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,732 : 117,599 = 117,599 : x
  2. Step 2: Convert to fraction form
    75,732/117,599 = 117,599/x
  3. Step 3: Cross multiply
    75,732x = 117,599 × 117,599
  4. Step 4: Simplify right side
    75,732x = 13,829,524,801
  5. Step 5: Solve for x
    x = 13,829,524,801/75,732
  6. Step 6: Final answer
    x = 182,611.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.