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Finding the Third Proportional to 71,870 and 151,190

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Solution

The third proportional to 71,870 and 151,190 is: 318,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,870 : 151,190 = 151,190 : x
  2. Step 2: Convert to fraction form
    71,870/151,190 = 151,190/x
  3. Step 3: Cross multiply
    71,870x = 151,190 × 151,190
  4. Step 4: Simplify right side
    71,870x = 22,858,416,100
  5. Step 5: Solve for x
    x = 22,858,416,100/71,870
  6. Step 6: Final answer
    x = 318,052.26

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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.