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Finding the Third Proportional to 51,294 and 80,181

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Solution

The third proportional to 51,294 and 80,181 is: 125,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,294 : 80,181 = 80,181 : x
  2. Step 2: Convert to fraction form
    51,294/80,181 = 80,181/x
  3. Step 3: Cross multiply
    51,294x = 80,181 × 80,181
  4. Step 4: Simplify right side
    51,294x = 6,428,992,761
  5. Step 5: Solve for x
    x = 6,428,992,761/51,294
  6. Step 6: Final answer
    x = 125,336.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.