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Finding the Third Proportional to 123,012 and 269,001

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Solution

The third proportional to 123,012 and 269,001 is: 588,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,012 : 269,001 = 269,001 : x
  2. Step 2: Convert to fraction form
    123,012/269,001 = 269,001/x
  3. Step 3: Cross multiply
    123,012x = 269,001 × 269,001
  4. Step 4: Simplify right side
    123,012x = 72,361,538,001
  5. Step 5: Solve for x
    x = 72,361,538,001/123,012
  6. Step 6: Final answer
    x = 588,247.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.