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Finding the Third Proportional to 81,510 and 123,930

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Solution

The third proportional to 81,510 and 123,930 is: 188,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,510 : 123,930 = 123,930 : x
  2. Step 2: Convert to fraction form
    81,510/123,930 = 123,930/x
  3. Step 3: Cross multiply
    81,510x = 123,930 × 123,930
  4. Step 4: Simplify right side
    81,510x = 15,358,644,900
  5. Step 5: Solve for x
    x = 15,358,644,900/81,510
  6. Step 6: Final answer
    x = 188,426.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.