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Finding the Third Proportional to 71,265 and 156,749

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Solution

The third proportional to 71,265 and 156,749 is: 344,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,265 : 156,749 = 156,749 : x
  2. Step 2: Convert to fraction form
    71,265/156,749 = 156,749/x
  3. Step 3: Cross multiply
    71,265x = 156,749 × 156,749
  4. Step 4: Simplify right side
    71,265x = 24,570,249,001
  5. Step 5: Solve for x
    x = 24,570,249,001/71,265
  6. Step 6: Final answer
    x = 344,773.02

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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.