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Finding the Third Proportional to 41,790 and 87,678

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Solution

The third proportional to 41,790 and 87,678 is: 183,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,790 : 87,678 = 87,678 : x
  2. Step 2: Convert to fraction form
    41,790/87,678 = 87,678/x
  3. Step 3: Cross multiply
    41,790x = 87,678 × 87,678
  4. Step 4: Simplify right side
    41,790x = 7,687,431,684
  5. Step 5: Solve for x
    x = 7,687,431,684/41,790
  6. Step 6: Final answer
    x = 183,953.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.