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Finding the Third Proportional to 125,217 and 187,826

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Solution

The third proportional to 125,217 and 187,826 is: 281,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,217 : 187,826 = 187,826 : x
  2. Step 2: Convert to fraction form
    125,217/187,826 = 187,826/x
  3. Step 3: Cross multiply
    125,217x = 187,826 × 187,826
  4. Step 4: Simplify right side
    125,217x = 35,278,606,276
  5. Step 5: Solve for x
    x = 35,278,606,276/125,217
  6. Step 6: Final answer
    x = 281,739.75

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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.