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Finding the Third Proportional to 82,359 and 124,217

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Solution

The third proportional to 82,359 and 124,217 is: 187,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359 : 124,217 = 124,217 : x
  2. Step 2: Convert to fraction form
    82,359/124,217 = 124,217/x
  3. Step 3: Cross multiply
    82,359x = 124,217 × 124,217
  4. Step 4: Simplify right side
    82,359x = 15,429,863,089
  5. Step 5: Solve for x
    x = 15,429,863,089/82,359
  6. Step 6: Final answer
    x = 187,348.84

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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.