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Finding the Third Proportional to 63,189 and 95,039

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Solution

The third proportional to 63,189 and 95,039 is: 142,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,189 : 95,039 = 95,039 : x
  2. Step 2: Convert to fraction form
    63,189/95,039 = 95,039/x
  3. Step 3: Cross multiply
    63,189x = 95,039 × 95,039
  4. Step 4: Simplify right side
    63,189x = 9,032,411,521
  5. Step 5: Solve for x
    x = 9,032,411,521/63,189
  6. Step 6: Final answer
    x = 142,942.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.