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Finding the Third Proportional to 101,422.13 and 144,159.75

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Solution

The third proportional to 101,422.13 and 144,159.75 is: 204,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,422.13 : 144,159.75 = 144,159.75 : x
  2. Step 2: Convert to fraction form
    101,422.13/144,159.75 = 144,159.75/x
  3. Step 3: Cross multiply
    101,422.13x = 144,159.75 × 144,159.75
  4. Step 4: Simplify right side
    101,422.13x = 20,782,033,520.06
  5. Step 5: Solve for x
    x = 20,782,033,520.06/101,422.13
  6. Step 6: Final answer
    x = 204,906.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.