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Finding the Third Proportional to 127,097 and 251,003

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Solution

The third proportional to 127,097 and 251,003 is: 495,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,097 : 251,003 = 251,003 : x
  2. Step 2: Convert to fraction form
    127,097/251,003 = 251,003/x
  3. Step 3: Cross multiply
    127,097x = 251,003 × 251,003
  4. Step 4: Simplify right side
    127,097x = 63,002,506,009
  5. Step 5: Solve for x
    x = 63,002,506,009/127,097
  6. Step 6: Final answer
    x = 495,704.12

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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.