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Finding the Third Proportional to 41,951 and 83,870

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Solution

The third proportional to 41,951 and 83,870 is: 167,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,951 : 83,870 = 83,870 : x
  2. Step 2: Convert to fraction form
    41,951/83,870 = 83,870/x
  3. Step 3: Cross multiply
    41,951x = 83,870 × 83,870
  4. Step 4: Simplify right side
    41,951x = 7,034,176,900
  5. Step 5: Solve for x
    x = 7,034,176,900/41,951
  6. Step 6: Final answer
    x = 167,676.02

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.