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Finding the Third Proportional to 71,199 and 95,843.25

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Solution

The third proportional to 71,199 and 95,843.25 is: 129,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,199 : 95,843.25 = 95,843.25 : x
  2. Step 2: Convert to fraction form
    71,199/95,843.25 = 95,843.25/x
  3. Step 3: Cross multiply
    71,199x = 95,843.25 × 95,843.25
  4. Step 4: Simplify right side
    71,199x = 9,185,928,570.56
  5. Step 5: Solve for x
    x = 9,185,928,570.56/71,199
  6. Step 6: Final answer
    x = 129,017.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.