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Finding the Third Proportional to 95,159 and 207,860

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Solution

The third proportional to 95,159 and 207,860 is: 454,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,159 : 207,860 = 207,860 : x
  2. Step 2: Convert to fraction form
    95,159/207,860 = 207,860/x
  3. Step 3: Cross multiply
    95,159x = 207,860 × 207,860
  4. Step 4: Simplify right side
    95,159x = 43,205,779,600
  5. Step 5: Solve for x
    x = 43,205,779,600/95,159
  6. Step 6: Final answer
    x = 454,037.76

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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.