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Finding the Third Proportional to 71,832 and 113,686

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Solution

The third proportional to 71,832 and 113,686 is: 179,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832 : 113,686 = 113,686 : x
  2. Step 2: Convert to fraction form
    71,832/113,686 = 113,686/x
  3. Step 3: Cross multiply
    71,832x = 113,686 × 113,686
  4. Step 4: Simplify right side
    71,832x = 12,924,506,596
  5. Step 5: Solve for x
    x = 12,924,506,596/71,832
  6. Step 6: Final answer
    x = 179,926.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.