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Finding the Third Proportional to 51,754 and 80,167

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Solution

The third proportional to 51,754 and 80,167 is: 124,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,754 : 80,167 = 80,167 : x
  2. Step 2: Convert to fraction form
    51,754/80,167 = 80,167/x
  3. Step 3: Cross multiply
    51,754x = 80,167 × 80,167
  4. Step 4: Simplify right side
    51,754x = 6,426,747,889
  5. Step 5: Solve for x
    x = 6,426,747,889/51,754
  6. Step 6: Final answer
    x = 124,178.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.