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Finding the Third Proportional to 81,294.75 and 127,707.75

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Solution

The third proportional to 81,294.75 and 127,707.75 is: 200,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,294.75 : 127,707.75 = 127,707.75 : x
  2. Step 2: Convert to fraction form
    81,294.75/127,707.75 = 127,707.75/x
  3. Step 3: Cross multiply
    81,294.75x = 127,707.75 × 127,707.75
  4. Step 4: Simplify right side
    81,294.75x = 16,309,269,410.06
  5. Step 5: Solve for x
    x = 16,309,269,410.06/81,294.75
  6. Step 6: Final answer
    x = 200,618.97

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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.