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Finding the Third Proportional to 40,401 and 87,255

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Solution

The third proportional to 40,401 and 87,255 is: 188,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,401 : 87,255 = 87,255 : x
  2. Step 2: Convert to fraction form
    40,401/87,255 = 87,255/x
  3. Step 3: Cross multiply
    40,401x = 87,255 × 87,255
  4. Step 4: Simplify right side
    40,401x = 7,613,435,025
  5. Step 5: Solve for x
    x = 7,613,435,025/40,401
  6. Step 6: Final answer
    x = 188,446.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.