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Finding the Third Proportional to 95,359 and 209,761

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Solution

The third proportional to 95,359 and 209,761 is: 461,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,359 : 209,761 = 209,761 : x
  2. Step 2: Convert to fraction form
    95,359/209,761 = 209,761/x
  3. Step 3: Cross multiply
    95,359x = 209,761 × 209,761
  4. Step 4: Simplify right side
    95,359x = 43,999,677,121
  5. Step 5: Solve for x
    x = 43,999,677,121/95,359
  6. Step 6: Final answer
    x = 461,410.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.