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Finding the Third Proportional to 40,514 and 84,255

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Solution

The third proportional to 40,514 and 84,255 is: 175,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,514 : 84,255 = 84,255 : x
  2. Step 2: Convert to fraction form
    40,514/84,255 = 84,255/x
  3. Step 3: Cross multiply
    40,514x = 84,255 × 84,255
  4. Step 4: Simplify right side
    40,514x = 7,098,905,025
  5. Step 5: Solve for x
    x = 7,098,905,025/40,514
  6. Step 6: Final answer
    x = 175,221.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.