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Finding the Third Proportional to 80,878.50 and 109,883.25

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Solution

The third proportional to 80,878.50 and 109,883.25 is: 149,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,878.50 : 109,883.25 = 109,883.25 : x
  2. Step 2: Convert to fraction form
    80,878.50/109,883.25 = 109,883.25/x
  3. Step 3: Cross multiply
    80,878.50x = 109,883.25 × 109,883.25
  4. Step 4: Simplify right side
    80,878.50x = 12,074,328,630.56
  5. Step 5: Solve for x
    x = 12,074,328,630.56/80,878.50
  6. Step 6: Final answer
    x = 149,289.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.