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Finding the Third Proportional to 54,118 and 116,284

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Solution

The third proportional to 54,118 and 116,284 is: 249,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,118 : 116,284 = 116,284 : x
  2. Step 2: Convert to fraction form
    54,118/116,284 = 116,284/x
  3. Step 3: Cross multiply
    54,118x = 116,284 × 116,284
  4. Step 4: Simplify right side
    54,118x = 13,521,968,656
  5. Step 5: Solve for x
    x = 13,521,968,656/54,118
  6. Step 6: Final answer
    x = 249,860.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.