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Finding the Third Proportional to 88,919 and 158,101

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Solution

The third proportional to 88,919 and 158,101 is: 281,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,919 : 158,101 = 158,101 : x
  2. Step 2: Convert to fraction form
    88,919/158,101 = 158,101/x
  3. Step 3: Cross multiply
    88,919x = 158,101 × 158,101
  4. Step 4: Simplify right side
    88,919x = 24,995,926,201
  5. Step 5: Solve for x
    x = 24,995,926,201/88,919
  6. Step 6: Final answer
    x = 281,108.94

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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.