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Finding the Third Proportional to 127,838.25 and 191,760.75

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Solution

The third proportional to 127,838.25 and 191,760.75 is: 287,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,838.25 : 191,760.75 = 191,760.75 : x
  2. Step 2: Convert to fraction form
    127,838.25/191,760.75 = 191,760.75/x
  3. Step 3: Cross multiply
    127,838.25x = 191,760.75 × 191,760.75
  4. Step 4: Simplify right side
    127,838.25x = 36,772,185,240.56
  5. Step 5: Solve for x
    x = 36,772,185,240.56/127,838.25
  6. Step 6: Final answer
    x = 287,646.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.