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Finding the Third Proportional to 95,159 and 207,265

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Solution

The third proportional to 95,159 and 207,265 is: 451,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,159 : 207,265 = 207,265 : x
  2. Step 2: Convert to fraction form
    95,159/207,265 = 207,265/x
  3. Step 3: Cross multiply
    95,159x = 207,265 × 207,265
  4. Step 4: Simplify right side
    95,159x = 42,958,780,225
  5. Step 5: Solve for x
    x = 42,958,780,225/95,159
  6. Step 6: Final answer
    x = 451,442.12

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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.