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Finding the Third Proportional to 124,020 and 185,754

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Solution

The third proportional to 124,020 and 185,754 is: 278,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,020 : 185,754 = 185,754 : x
  2. Step 2: Convert to fraction form
    124,020/185,754 = 185,754/x
  3. Step 3: Cross multiply
    124,020x = 185,754 × 185,754
  4. Step 4: Simplify right side
    124,020x = 34,504,548,516
  5. Step 5: Solve for x
    x = 34,504,548,516/124,020
  6. Step 6: Final answer
    x = 278,217.61

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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.