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Finding the Third Proportional to 71,942 and 156,486

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Solution

The third proportional to 71,942 and 156,486 is: 340,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,942 : 156,486 = 156,486 : x
  2. Step 2: Convert to fraction form
    71,942/156,486 = 156,486/x
  3. Step 3: Cross multiply
    71,942x = 156,486 × 156,486
  4. Step 4: Simplify right side
    71,942x = 24,487,868,196
  5. Step 5: Solve for x
    x = 24,487,868,196/71,942
  6. Step 6: Final answer
    x = 340,383.48

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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.