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Finding the Third Proportional to 101,459.25 and 144,213.75

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Solution

The third proportional to 101,459.25 and 144,213.75 is: 204,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,459.25 : 144,213.75 = 144,213.75 : x
  2. Step 2: Convert to fraction form
    101,459.25/144,213.75 = 144,213.75/x
  3. Step 3: Cross multiply
    101,459.25x = 144,213.75 × 144,213.75
  4. Step 4: Simplify right side
    101,459.25x = 20,797,605,689.06
  5. Step 5: Solve for x
    x = 20,797,605,689.06/101,459.25
  6. Step 6: Final answer
    x = 204,984.82

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