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Finding the Third Proportional to 74,682 and 158,110

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Solution

The third proportional to 74,682 and 158,110 is: 334,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,682 : 158,110 = 158,110 : x
  2. Step 2: Convert to fraction form
    74,682/158,110 = 158,110/x
  3. Step 3: Cross multiply
    74,682x = 158,110 × 158,110
  4. Step 4: Simplify right side
    74,682x = 24,998,772,100
  5. Step 5: Solve for x
    x = 24,998,772,100/74,682
  6. Step 6: Final answer
    x = 334,736.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.