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Finding the Third Proportional to 71,150 and 95,209

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Solution

The third proportional to 71,150 and 95,209 is: 127,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,150 : 95,209 = 95,209 : x
  2. Step 2: Convert to fraction form
    71,150/95,209 = 95,209/x
  3. Step 3: Cross multiply
    71,150x = 95,209 × 95,209
  4. Step 4: Simplify right side
    71,150x = 9,064,753,681
  5. Step 5: Solve for x
    x = 9,064,753,681/71,150
  6. Step 6: Final answer
    x = 127,403.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.