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Finding the Third Proportional to 91,944 and 144,474

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Solution

The third proportional to 91,944 and 144,474 is: 227,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,944 : 144,474 = 144,474 : x
  2. Step 2: Convert to fraction form
    91,944/144,474 = 144,474/x
  3. Step 3: Cross multiply
    91,944x = 144,474 × 144,474
  4. Step 4: Simplify right side
    91,944x = 20,872,736,676
  5. Step 5: Solve for x
    x = 20,872,736,676/91,944
  6. Step 6: Final answer
    x = 227,015.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.