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Finding the Third Proportional to 127,102 and 251,012

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Solution

The third proportional to 127,102 and 251,012 is: 495,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,102 : 251,012 = 251,012 : x
  2. Step 2: Convert to fraction form
    127,102/251,012 = 251,012/x
  3. Step 3: Cross multiply
    127,102x = 251,012 × 251,012
  4. Step 4: Simplify right side
    127,102x = 63,007,024,144
  5. Step 5: Solve for x
    x = 63,007,024,144/127,102
  6. Step 6: Final answer
    x = 495,720.16

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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.