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Finding the Third Proportional to 73,131.75 and 109,219.50

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Solution

The third proportional to 73,131.75 and 109,219.50 is: 163,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,131.75 : 109,219.50 = 109,219.50 : x
  2. Step 2: Convert to fraction form
    73,131.75/109,219.50 = 109,219.50/x
  3. Step 3: Cross multiply
    73,131.75x = 109,219.50 × 109,219.50
  4. Step 4: Simplify right side
    73,131.75x = 11,928,899,180.25
  5. Step 5: Solve for x
    x = 11,928,899,180.25/73,131.75
  6. Step 6: Final answer
    x = 163,115.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.