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Finding the Third Proportional to 71,384 and 156,892

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Solution

The third proportional to 71,384 and 156,892 is: 344,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,384 : 156,892 = 156,892 : x
  2. Step 2: Convert to fraction form
    71,384/156,892 = 156,892/x
  3. Step 3: Cross multiply
    71,384x = 156,892 × 156,892
  4. Step 4: Simplify right side
    71,384x = 24,615,099,664
  5. Step 5: Solve for x
    x = 24,615,099,664/71,384
  6. Step 6: Final answer
    x = 344,826.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.