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Finding the Third Proportional to 73,722 and 102,188

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Solution

The third proportional to 73,722 and 102,188 is: 141,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722 : 102,188 = 102,188 : x
  2. Step 2: Convert to fraction form
    73,722/102,188 = 102,188/x
  3. Step 3: Cross multiply
    73,722x = 102,188 × 102,188
  4. Step 4: Simplify right side
    73,722x = 10,442,387,344
  5. Step 5: Solve for x
    x = 10,442,387,344/73,722
  6. Step 6: Final answer
    x = 141,645.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.