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Finding the Third Proportional to 51,792 and 75,975

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Solution

The third proportional to 51,792 and 75,975 is: 111,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,792 : 75,975 = 75,975 : x
  2. Step 2: Convert to fraction form
    51,792/75,975 = 75,975/x
  3. Step 3: Cross multiply
    51,792x = 75,975 × 75,975
  4. Step 4: Simplify right side
    51,792x = 5,772,200,625
  5. Step 5: Solve for x
    x = 5,772,200,625/51,792
  6. Step 6: Final answer
    x = 111,449.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.