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Finding the Third Proportional to 54,490 and 81,790

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Solution

The third proportional to 54,490 and 81,790 is: 122,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,490 : 81,790 = 81,790 : x
  2. Step 2: Convert to fraction form
    54,490/81,790 = 81,790/x
  3. Step 3: Cross multiply
    54,490x = 81,790 × 81,790
  4. Step 4: Simplify right side
    54,490x = 6,689,604,100
  5. Step 5: Solve for x
    x = 6,689,604,100/54,490
  6. Step 6: Final answer
    x = 122,767.56

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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.