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Finding the Third Proportional to 95,177 and 147,140

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Solution

The third proportional to 95,177 and 147,140 is: 227,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,177 : 147,140 = 147,140 : x
  2. Step 2: Convert to fraction form
    95,177/147,140 = 147,140/x
  3. Step 3: Cross multiply
    95,177x = 147,140 × 147,140
  4. Step 4: Simplify right side
    95,177x = 21,650,179,600
  5. Step 5: Solve for x
    x = 21,650,179,600/95,177
  6. Step 6: Final answer
    x = 227,472.81

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