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Finding the Third Proportional to 71,747.44 and 156,412.13

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Solution

The third proportional to 71,747.44 and 156,412.13 is: 340,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,747.44 : 156,412.13 = 156,412.13 : x
  2. Step 2: Convert to fraction form
    71,747.44/156,412.13 = 156,412.13/x
  3. Step 3: Cross multiply
    71,747.44x = 156,412.13 × 156,412.13
  4. Step 4: Simplify right side
    71,747.44x = 24,464,752,847.02
  5. Step 5: Solve for x
    x = 24,464,752,847.02/71,747.44
  6. Step 6: Final answer
    x = 340,984.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.