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Finding the Third Proportional to 107,071 and 165,791

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Solution

The third proportional to 107,071 and 165,791 is: 256,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,071 : 165,791 = 165,791 : x
  2. Step 2: Convert to fraction form
    107,071/165,791 = 165,791/x
  3. Step 3: Cross multiply
    107,071x = 165,791 × 165,791
  4. Step 4: Simplify right side
    107,071x = 27,486,655,681
  5. Step 5: Solve for x
    x = 27,486,655,681/107,071
  6. Step 6: Final answer
    x = 256,714.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.