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Finding the Third Proportional to 40,014 and 108,864

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Solution

The third proportional to 40,014 and 108,864 is: 296,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,014 : 108,864 = 108,864 : x
  2. Step 2: Convert to fraction form
    40,014/108,864 = 108,864/x
  3. Step 3: Cross multiply
    40,014x = 108,864 × 108,864
  4. Step 4: Simplify right side
    40,014x = 11,851,370,496
  5. Step 5: Solve for x
    x = 11,851,370,496/40,014
  6. Step 6: Final answer
    x = 296,180.60

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.