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Finding the Third Proportional to 108,831 and 154,048

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Solution

The third proportional to 108,831 and 154,048 is: 218,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,831 : 154,048 = 154,048 : x
  2. Step 2: Convert to fraction form
    108,831/154,048 = 154,048/x
  3. Step 3: Cross multiply
    108,831x = 154,048 × 154,048
  4. Step 4: Simplify right side
    108,831x = 23,730,786,304
  5. Step 5: Solve for x
    x = 23,730,786,304/108,831
  6. Step 6: Final answer
    x = 218,051.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.