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Finding the Third Proportional to 71,296 and 156,712

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Solution

The third proportional to 71,296 and 156,712 is: 344,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296 : 156,712 = 156,712 : x
  2. Step 2: Convert to fraction form
    71,296/156,712 = 156,712/x
  3. Step 3: Cross multiply
    71,296x = 156,712 × 156,712
  4. Step 4: Simplify right side
    71,296x = 24,558,650,944
  5. Step 5: Solve for x
    x = 24,558,650,944/71,296
  6. Step 6: Final answer
    x = 344,460.43

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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.