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Finding the Third Proportional to 81,177 and 127,374.75

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Solution

The third proportional to 81,177 and 127,374.75 is: 199,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,177 : 127,374.75 = 127,374.75 : x
  2. Step 2: Convert to fraction form
    81,177/127,374.75 = 127,374.75/x
  3. Step 3: Cross multiply
    81,177x = 127,374.75 × 127,374.75
  4. Step 4: Simplify right side
    81,177x = 16,224,326,937.56
  5. Step 5: Solve for x
    x = 16,224,326,937.56/81,177
  6. Step 6: Final answer
    x = 199,863.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.