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Finding the Third Proportional to 95,724 and 209,586

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Solution

The third proportional to 95,724 and 209,586 is: 458,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,724 : 209,586 = 209,586 : x
  2. Step 2: Convert to fraction form
    95,724/209,586 = 209,586/x
  3. Step 3: Cross multiply
    95,724x = 209,586 × 209,586
  4. Step 4: Simplify right side
    95,724x = 43,926,291,396
  5. Step 5: Solve for x
    x = 43,926,291,396/95,724
  6. Step 6: Final answer
    x = 458,884.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.