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Finding the Third Proportional to 124,509 and 186,891

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Solution

The third proportional to 124,509 and 186,891 is: 280,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,509 : 186,891 = 186,891 : x
  2. Step 2: Convert to fraction form
    124,509/186,891 = 186,891/x
  3. Step 3: Cross multiply
    124,509x = 186,891 × 186,891
  4. Step 4: Simplify right side
    124,509x = 34,928,245,881
  5. Step 5: Solve for x
    x = 34,928,245,881/124,509
  6. Step 6: Final answer
    x = 280,527.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.