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Finding the Third Proportional to 127,112 and 251,028

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Solution

The third proportional to 127,112 and 251,028 is: 495,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,112 : 251,028 = 251,028 : x
  2. Step 2: Convert to fraction form
    127,112/251,028 = 251,028/x
  3. Step 3: Cross multiply
    127,112x = 251,028 × 251,028
  4. Step 4: Simplify right side
    127,112x = 63,015,056,784
  5. Step 5: Solve for x
    x = 63,015,056,784/127,112
  6. Step 6: Final answer
    x = 495,744.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.