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Finding the Third Proportional to 71,832 and 113,687

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Solution

The third proportional to 71,832 and 113,687 is: 179,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832 : 113,687 = 113,687 : x
  2. Step 2: Convert to fraction form
    71,832/113,687 = 113,687/x
  3. Step 3: Cross multiply
    71,832x = 113,687 × 113,687
  4. Step 4: Simplify right side
    71,832x = 12,924,733,969
  5. Step 5: Solve for x
    x = 12,924,733,969/71,832
  6. Step 6: Final answer
    x = 179,930.03

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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.