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Finding the Third Proportional to 71,870 and 151,187

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Solution

The third proportional to 71,870 and 151,187 is: 318,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,870 : 151,187 = 151,187 : x
  2. Step 2: Convert to fraction form
    71,870/151,187 = 151,187/x
  3. Step 3: Cross multiply
    71,870x = 151,187 × 151,187
  4. Step 4: Simplify right side
    71,870x = 22,857,508,969
  5. Step 5: Solve for x
    x = 22,857,508,969/71,870
  6. Step 6: Final answer
    x = 318,039.64

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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.