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Finding the Third Proportional to 54,459 and 84,150

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Solution

The third proportional to 54,459 and 84,150 is: 130,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,459 : 84,150 = 84,150 : x
  2. Step 2: Convert to fraction form
    54,459/84,150 = 84,150/x
  3. Step 3: Cross multiply
    54,459x = 84,150 × 84,150
  4. Step 4: Simplify right side
    54,459x = 7,081,222,500
  5. Step 5: Solve for x
    x = 7,081,222,500/54,459
  6. Step 6: Final answer
    x = 130,028.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.