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Finding the Third Proportional to 71,889 and 156,373

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Solution

The third proportional to 71,889 and 156,373 is: 340,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,889 : 156,373 = 156,373 : x
  2. Step 2: Convert to fraction form
    71,889/156,373 = 156,373/x
  3. Step 3: Cross multiply
    71,889x = 156,373 × 156,373
  4. Step 4: Simplify right side
    71,889x = 24,452,515,129
  5. Step 5: Solve for x
    x = 24,452,515,129/71,889
  6. Step 6: Final answer
    x = 340,142.65

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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.