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Finding the Third Proportional to 51,291 and 69,012

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Solution

The third proportional to 51,291 and 69,012 is: 92,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,291 : 69,012 = 69,012 : x
  2. Step 2: Convert to fraction form
    51,291/69,012 = 69,012/x
  3. Step 3: Cross multiply
    51,291x = 69,012 × 69,012
  4. Step 4: Simplify right side
    51,291x = 4,762,656,144
  5. Step 5: Solve for x
    x = 4,762,656,144/51,291
  6. Step 6: Final answer
    x = 92,855.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.