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Finding the Third Proportional to 127,824.75 and 200,080.13

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Solution

The third proportional to 127,824.75 and 200,080.13 is: 313,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,824.75 : 200,080.13 = 200,080.13 : x
  2. Step 2: Convert to fraction form
    127,824.75/200,080.13 = 200,080.13/x
  3. Step 3: Cross multiply
    127,824.75x = 200,080.13 × 200,080.13
  4. Step 4: Simplify right side
    127,824.75x = 40,032,056,420.02
  5. Step 5: Solve for x
    x = 40,032,056,420.02/127,824.75
  6. Step 6: Final answer
    x = 313,179.23

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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.