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Finding the Third Proportional to 67,850 and 150,514

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Solution

The third proportional to 67,850 and 150,514 is: 333,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,850 : 150,514 = 150,514 : x
  2. Step 2: Convert to fraction form
    67,850/150,514 = 150,514/x
  3. Step 3: Cross multiply
    67,850x = 150,514 × 150,514
  4. Step 4: Simplify right side
    67,850x = 22,654,464,196
  5. Step 5: Solve for x
    x = 22,654,464,196/67,850
  6. Step 6: Final answer
    x = 333,890.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.