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Finding the Third Proportional to 54,290 and 117,862

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Solution

The third proportional to 54,290 and 117,862 is: 255,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,290 : 117,862 = 117,862 : x
  2. Step 2: Convert to fraction form
    54,290/117,862 = 117,862/x
  3. Step 3: Cross multiply
    54,290x = 117,862 × 117,862
  4. Step 4: Simplify right side
    54,290x = 13,891,451,044
  5. Step 5: Solve for x
    x = 13,891,451,044/54,290
  6. Step 6: Final answer
    x = 255,874.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.