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Finding the Third Proportional to 95,098 and 147,171

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Solution

The third proportional to 95,098 and 147,171 is: 227,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,098 : 147,171 = 147,171 : x
  2. Step 2: Convert to fraction form
    95,098/147,171 = 147,171/x
  3. Step 3: Cross multiply
    95,098x = 147,171 × 147,171
  4. Step 4: Simplify right side
    95,098x = 21,659,303,241
  5. Step 5: Solve for x
    x = 21,659,303,241/95,098
  6. Step 6: Final answer
    x = 227,757.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.