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Finding the Third Proportional to 63,202 and 95,204

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Solution

The third proportional to 63,202 and 95,204 is: 143,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,202 : 95,204 = 95,204 : x
  2. Step 2: Convert to fraction form
    63,202/95,204 = 95,204/x
  3. Step 3: Cross multiply
    63,202x = 95,204 × 95,204
  4. Step 4: Simplify right side
    63,202x = 9,063,801,616
  5. Step 5: Solve for x
    x = 9,063,801,616/63,202
  6. Step 6: Final answer
    x = 143,410.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.