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Finding the Third Proportional to 82,932 and 124,814

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Solution

The third proportional to 82,932 and 124,814 is: 187,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,932 : 124,814 = 124,814 : x
  2. Step 2: Convert to fraction form
    82,932/124,814 = 124,814/x
  3. Step 3: Cross multiply
    82,932x = 124,814 × 124,814
  4. Step 4: Simplify right side
    82,932x = 15,578,534,596
  5. Step 5: Solve for x
    x = 15,578,534,596/82,932
  6. Step 6: Final answer
    x = 187,847.09

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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.