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Finding the Third Proportional to 81,788 and 123,088

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Solution

The third proportional to 81,788 and 123,088 is: 185,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,788 : 123,088 = 123,088 : x
  2. Step 2: Convert to fraction form
    81,788/123,088 = 123,088/x
  3. Step 3: Cross multiply
    81,788x = 123,088 × 123,088
  4. Step 4: Simplify right side
    81,788x = 15,150,655,744
  5. Step 5: Solve for x
    x = 15,150,655,744/81,788
  6. Step 6: Final answer
    x = 185,243.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.