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Finding the Third Proportional to 40,895 and 87,701

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Solution

The third proportional to 40,895 and 87,701 is: 188,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,895 : 87,701 = 87,701 : x
  2. Step 2: Convert to fraction form
    40,895/87,701 = 87,701/x
  3. Step 3: Cross multiply
    40,895x = 87,701 × 87,701
  4. Step 4: Simplify right side
    40,895x = 7,691,465,401
  5. Step 5: Solve for x
    x = 7,691,465,401/40,895
  6. Step 6: Final answer
    x = 188,078.38

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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.