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Finding the Third Proportional to 127,963.13 and 200,718.56

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Solution

The third proportional to 127,963.13 and 200,718.56 is: 314,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,963.13 : 200,718.56 = 200,718.56 : x
  2. Step 2: Convert to fraction form
    127,963.13/200,718.56 = 200,718.56/x
  3. Step 3: Cross multiply
    127,963.13x = 200,718.56 × 200,718.56
  4. Step 4: Simplify right side
    127,963.13x = 40,287,941,332.07
  5. Step 5: Solve for x
    x = 40,287,941,332.07/127,963.13
  6. Step 6: Final answer
    x = 314,840.24

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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.