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Finding the Third Proportional to 71,873 and 151,195

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Solution

The third proportional to 71,873 and 151,195 is: 318,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,873 : 151,195 = 151,195 : x
  2. Step 2: Convert to fraction form
    71,873/151,195 = 151,195/x
  3. Step 3: Cross multiply
    71,873x = 151,195 × 151,195
  4. Step 4: Simplify right side
    71,873x = 22,859,928,025
  5. Step 5: Solve for x
    x = 22,859,928,025/71,873
  6. Step 6: Final answer
    x = 318,060.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.