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Finding the Third Proportional to 71,383 and 156,890

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Solution

The third proportional to 71,383 and 156,890 is: 344,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383 : 156,890 = 156,890 : x
  2. Step 2: Convert to fraction form
    71,383/156,890 = 156,890/x
  3. Step 3: Cross multiply
    71,383x = 156,890 × 156,890
  4. Step 4: Simplify right side
    71,383x = 24,614,472,100
  5. Step 5: Solve for x
    x = 24,614,472,100/71,383
  6. Step 6: Final answer
    x = 344,822.61

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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.