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Finding the Third Proportional to 124,694 and 188,352

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Solution

The third proportional to 124,694 and 188,352 is: 284,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,694 : 188,352 = 188,352 : x
  2. Step 2: Convert to fraction form
    124,694/188,352 = 188,352/x
  3. Step 3: Cross multiply
    124,694x = 188,352 × 188,352
  4. Step 4: Simplify right side
    124,694x = 35,476,475,904
  5. Step 5: Solve for x
    x = 35,476,475,904/124,694
  6. Step 6: Final answer
    x = 284,508.28

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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.