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Finding the Third Proportional to 82,934 and 124,817

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Solution

The third proportional to 82,934 and 124,817 is: 187,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,934 : 124,817 = 124,817 : x
  2. Step 2: Convert to fraction form
    82,934/124,817 = 124,817/x
  3. Step 3: Cross multiply
    82,934x = 124,817 × 124,817
  4. Step 4: Simplify right side
    82,934x = 15,579,283,489
  5. Step 5: Solve for x
    x = 15,579,283,489/82,934
  6. Step 6: Final answer
    x = 187,851.59

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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.