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Finding the Third Proportional to 124,626 and 186,903

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Solution

The third proportional to 124,626 and 186,903 is: 280,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,626 : 186,903 = 186,903 : x
  2. Step 2: Convert to fraction form
    124,626/186,903 = 186,903/x
  3. Step 3: Cross multiply
    124,626x = 186,903 × 186,903
  4. Step 4: Simplify right side
    124,626x = 34,932,731,409
  5. Step 5: Solve for x
    x = 34,932,731,409/124,626
  6. Step 6: Final answer
    x = 280,300.51

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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.