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Finding the Third Proportional to 75,726 and 166,680

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Solution

The third proportional to 75,726 and 166,680 is: 366,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,726 : 166,680 = 166,680 : x
  2. Step 2: Convert to fraction form
    75,726/166,680 = 166,680/x
  3. Step 3: Cross multiply
    75,726x = 166,680 × 166,680
  4. Step 4: Simplify right side
    75,726x = 27,782,222,400
  5. Step 5: Solve for x
    x = 27,782,222,400/75,726
  6. Step 6: Final answer
    x = 366,878.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.