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Finding the Third Proportional to 124,928 and 175,744

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Solution

The third proportional to 124,928 and 175,744 is: 247,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,928 : 175,744 = 175,744 : x
  2. Step 2: Convert to fraction form
    124,928/175,744 = 175,744/x
  3. Step 3: Cross multiply
    124,928x = 175,744 × 175,744
  4. Step 4: Simplify right side
    124,928x = 30,885,953,536
  5. Step 5: Solve for x
    x = 30,885,953,536/124,928
  6. Step 6: Final answer
    x = 247,230.03

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.