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Finding the Third Proportional to 144,493 and 191,723

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Solution

The third proportional to 144,493 and 191,723 is: 254,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,493 : 191,723 = 191,723 : x
  2. Step 2: Convert to fraction form
    144,493/191,723 = 191,723/x
  3. Step 3: Cross multiply
    144,493x = 191,723 × 191,723
  4. Step 4: Simplify right side
    144,493x = 36,757,708,729
  5. Step 5: Solve for x
    x = 36,757,708,729/144,493
  6. Step 6: Final answer
    x = 254,390.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.