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Finding the Third Proportional to 71,441 and 156,982

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Solution

The third proportional to 71,441 and 156,982 is: 344,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,441 : 156,982 = 156,982 : x
  2. Step 2: Convert to fraction form
    71,441/156,982 = 156,982/x
  3. Step 3: Cross multiply
    71,441x = 156,982 × 156,982
  4. Step 4: Simplify right side
    71,441x = 24,643,348,324
  5. Step 5: Solve for x
    x = 24,643,348,324/71,441
  6. Step 6: Final answer
    x = 344,946.86

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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.