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Finding the Third Proportional to 124,542 and 188,288

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Solution

The third proportional to 124,542 and 188,288 is: 284,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,542 : 188,288 = 188,288 : x
  2. Step 2: Convert to fraction form
    124,542/188,288 = 188,288/x
  3. Step 3: Cross multiply
    124,542x = 188,288 × 188,288
  4. Step 4: Simplify right side
    124,542x = 35,452,370,944
  5. Step 5: Solve for x
    x = 35,452,370,944/124,542
  6. Step 6: Final answer
    x = 284,661.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.