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Finding the Third Proportional to 73,862 and 156,586

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Solution

The third proportional to 73,862 and 156,586 is: 331,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,862 : 156,586 = 156,586 : x
  2. Step 2: Convert to fraction form
    73,862/156,586 = 156,586/x
  3. Step 3: Cross multiply
    73,862x = 156,586 × 156,586
  4. Step 4: Simplify right side
    73,862x = 24,519,175,396
  5. Step 5: Solve for x
    x = 24,519,175,396/73,862
  6. Step 6: Final answer
    x = 331,959.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.