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Finding the Third Proportional to 95,140 and 206,128

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Solution

The third proportional to 95,140 and 206,128 is: 446,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,140 : 206,128 = 206,128 : x
  2. Step 2: Convert to fraction form
    95,140/206,128 = 206,128/x
  3. Step 3: Cross multiply
    95,140x = 206,128 × 206,128
  4. Step 4: Simplify right side
    95,140x = 42,488,752,384
  5. Step 5: Solve for x
    x = 42,488,752,384/95,140
  6. Step 6: Final answer
    x = 446,591.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.