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Finding the Third Proportional to 82,930 and 124,811

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Solution

The third proportional to 82,930 and 124,811 is: 187,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,930 : 124,811 = 124,811 : x
  2. Step 2: Convert to fraction form
    82,930/124,811 = 124,811/x
  3. Step 3: Cross multiply
    82,930x = 124,811 × 124,811
  4. Step 4: Simplify right side
    82,930x = 15,577,785,721
  5. Step 5: Solve for x
    x = 15,577,785,721/82,930
  6. Step 6: Final answer
    x = 187,842.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.