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Finding the Third Proportional to 81,204 and 119,344.50

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Solution

The third proportional to 81,204 and 119,344.50 is: 175,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,204 : 119,344.50 = 119,344.50 : x
  2. Step 2: Convert to fraction form
    81,204/119,344.50 = 119,344.50/x
  3. Step 3: Cross multiply
    81,204x = 119,344.50 × 119,344.50
  4. Step 4: Simplify right side
    81,204x = 14,243,109,680.25
  5. Step 5: Solve for x
    x = 14,243,109,680.25/81,204
  6. Step 6: Final answer
    x = 175,399.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.