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Finding the Third Proportional to 87,348 and 187,161

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Solution

The third proportional to 87,348 and 187,161 is: 401,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,348 : 187,161 = 187,161 : x
  2. Step 2: Convert to fraction form
    87,348/187,161 = 187,161/x
  3. Step 3: Cross multiply
    87,348x = 187,161 × 187,161
  4. Step 4: Simplify right side
    87,348x = 35,029,239,921
  5. Step 5: Solve for x
    x = 35,029,239,921/87,348
  6. Step 6: Final answer
    x = 401,030.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.