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Finding the Third Proportional to 76,427 and 101,930

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Solution

The third proportional to 76,427 and 101,930 is: 135,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,427 : 101,930 = 101,930 : x
  2. Step 2: Convert to fraction form
    76,427/101,930 = 101,930/x
  3. Step 3: Cross multiply
    76,427x = 101,930 × 101,930
  4. Step 4: Simplify right side
    76,427x = 10,389,724,900
  5. Step 5: Solve for x
    x = 10,389,724,900/76,427
  6. Step 6: Final answer
    x = 135,943.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.