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Finding the Third Proportional to 88,918 and 158,098

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Solution

The third proportional to 88,918 and 158,098 is: 281,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,918 : 158,098 = 158,098 : x
  2. Step 2: Convert to fraction form
    88,918/158,098 = 158,098/x
  3. Step 3: Cross multiply
    88,918x = 158,098 × 158,098
  4. Step 4: Simplify right side
    88,918x = 24,994,977,604
  5. Step 5: Solve for x
    x = 24,994,977,604/88,918
  6. Step 6: Final answer
    x = 281,101.44

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.