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Finding the Third Proportional to 51,605.75 and 79,757

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Solution

The third proportional to 51,605.75 and 79,757 is: 123,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,605.75 : 79,757 = 79,757 : x
  2. Step 2: Convert to fraction form
    51,605.75/79,757 = 79,757/x
  3. Step 3: Cross multiply
    51,605.75x = 79,757 × 79,757
  4. Step 4: Simplify right side
    51,605.75x = 6,361,179,049
  5. Step 5: Solve for x
    x = 6,361,179,049/51,605.75
  6. Step 6: Final answer
    x = 123,264.93

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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.