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Finding the Third Proportional to 75,920 and 166,142

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Solution

The third proportional to 75,920 and 166,142 is: 363,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,920 : 166,142 = 166,142 : x
  2. Step 2: Convert to fraction form
    75,920/166,142 = 166,142/x
  3. Step 3: Cross multiply
    75,920x = 166,142 × 166,142
  4. Step 4: Simplify right side
    75,920x = 27,603,164,164
  5. Step 5: Solve for x
    x = 27,603,164,164/75,920
  6. Step 6: Final answer
    x = 363,582.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.