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Finding the Third Proportional to 71,337 and 151,890

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Solution

The third proportional to 71,337 and 151,890 is: 323,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,337 : 151,890 = 151,890 : x
  2. Step 2: Convert to fraction form
    71,337/151,890 = 151,890/x
  3. Step 3: Cross multiply
    71,337x = 151,890 × 151,890
  4. Step 4: Simplify right side
    71,337x = 23,070,572,100
  5. Step 5: Solve for x
    x = 23,070,572,100/71,337
  6. Step 6: Final answer
    x = 323,402.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.