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Finding the Third Proportional to 83,514 and 147,186

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Solution

The third proportional to 83,514 and 147,186 is: 259,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,514 : 147,186 = 147,186 : x
  2. Step 2: Convert to fraction form
    83,514/147,186 = 147,186/x
  3. Step 3: Cross multiply
    83,514x = 147,186 × 147,186
  4. Step 4: Simplify right side
    83,514x = 21,663,718,596
  5. Step 5: Solve for x
    x = 21,663,718,596/83,514
  6. Step 6: Final answer
    x = 259,402.24

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.