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Finding the Third Proportional to 75,732.75 and 117,591

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Solution

The third proportional to 75,732.75 and 117,591 is: 182,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,732.75 : 117,591 = 117,591 : x
  2. Step 2: Convert to fraction form
    75,732.75/117,591 = 117,591/x
  3. Step 3: Cross multiply
    75,732.75x = 117,591 × 117,591
  4. Step 4: Simplify right side
    75,732.75x = 13,827,643,281
  5. Step 5: Solve for x
    x = 13,827,643,281/75,732.75
  6. Step 6: Final answer
    x = 182,584.72

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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.