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Finding the Third Proportional to 71,412 and 156,980

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Solution

The third proportional to 71,412 and 156,980 is: 345,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,412 : 156,980 = 156,980 : x
  2. Step 2: Convert to fraction form
    71,412/156,980 = 156,980/x
  3. Step 3: Cross multiply
    71,412x = 156,980 × 156,980
  4. Step 4: Simplify right side
    71,412x = 24,642,720,400
  5. Step 5: Solve for x
    x = 24,642,720,400/71,412
  6. Step 6: Final answer
    x = 345,078.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.