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Finding the Third Proportional to 70,976.25 and 109,881.56

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Solution

The third proportional to 70,976.25 and 109,881.56 is: 170,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,976.25 : 109,881.56 = 109,881.56 : x
  2. Step 2: Convert to fraction form
    70,976.25/109,881.56 = 109,881.56/x
  3. Step 3: Cross multiply
    70,976.25x = 109,881.56 × 109,881.56
  4. Step 4: Simplify right side
    70,976.25x = 12,073,957,777.44
  5. Step 5: Solve for x
    x = 12,073,957,777.44/70,976.25
  6. Step 6: Final answer
    x = 170,112.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.