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Finding the Third Proportional to 127,392.75 and 188,902.13

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Solution

The third proportional to 127,392.75 and 188,902.13 is: 280,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,392.75 : 188,902.13 = 188,902.13 : x
  2. Step 2: Convert to fraction form
    127,392.75/188,902.13 = 188,902.13/x
  3. Step 3: Cross multiply
    127,392.75x = 188,902.13 × 188,902.13
  4. Step 4: Simplify right side
    127,392.75x = 35,684,012,829.52
  5. Step 5: Solve for x
    x = 35,684,012,829.52/127,392.75
  6. Step 6: Final answer
    x = 280,110.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.