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Finding the Third Proportional to 127,963.50 and 200,718.75

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Solution

The third proportional to 127,963.50 and 200,718.75 is: 314,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,963.50 : 200,718.75 = 200,718.75 : x
  2. Step 2: Convert to fraction form
    127,963.50/200,718.75 = 200,718.75/x
  3. Step 3: Cross multiply
    127,963.50x = 200,718.75 × 200,718.75
  4. Step 4: Simplify right side
    127,963.50x = 40,288,016,601.56
  5. Step 5: Solve for x
    x = 40,288,016,601.56/127,963.50
  6. Step 6: Final answer
    x = 314,839.91

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