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Finding the Third Proportional to 107,882 and 168,862

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Solution

The third proportional to 107,882 and 168,862 is: 264,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,882 : 168,862 = 168,862 : x
  2. Step 2: Convert to fraction form
    107,882/168,862 = 168,862/x
  3. Step 3: Cross multiply
    107,882x = 168,862 × 168,862
  4. Step 4: Simplify right side
    107,882x = 28,514,375,044
  5. Step 5: Solve for x
    x = 28,514,375,044/107,882
  6. Step 6: Final answer
    x = 264,310.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.