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Finding the Third Proportional to 108,738 and 158,911

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Solution

The third proportional to 108,738 and 158,911 is: 232,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,738 : 158,911 = 158,911 : x
  2. Step 2: Convert to fraction form
    108,738/158,911 = 158,911/x
  3. Step 3: Cross multiply
    108,738x = 158,911 × 158,911
  4. Step 4: Simplify right side
    108,738x = 25,252,705,921
  5. Step 5: Solve for x
    x = 25,252,705,921/108,738
  6. Step 6: Final answer
    x = 232,234.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.