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Finding the Third Proportional to 140,935 and 187,882

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Solution

The third proportional to 140,935 and 187,882 is: 250,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,935 : 187,882 = 187,882 : x
  2. Step 2: Convert to fraction form
    140,935/187,882 = 187,882/x
  3. Step 3: Cross multiply
    140,935x = 187,882 × 187,882
  4. Step 4: Simplify right side
    140,935x = 35,299,645,924
  5. Step 5: Solve for x
    x = 35,299,645,924/140,935
  6. Step 6: Final answer
    x = 250,467.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.