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Finding the Third Proportional to 95,839 and 209,082

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Solution

The third proportional to 95,839 and 209,082 is: 456,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,839 : 209,082 = 209,082 : x
  2. Step 2: Convert to fraction form
    95,839/209,082 = 209,082/x
  3. Step 3: Cross multiply
    95,839x = 209,082 × 209,082
  4. Step 4: Simplify right side
    95,839x = 43,715,282,724
  5. Step 5: Solve for x
    x = 43,715,282,724/95,839
  6. Step 6: Final answer
    x = 456,132.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.