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Finding the Third Proportional to 54,378.84 and 84,028.64

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Solution

The third proportional to 54,378.84 and 84,028.64 is: 129,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,378.84 : 84,028.64 = 84,028.64 : x
  2. Step 2: Convert to fraction form
    54,378.84/84,028.64 = 84,028.64/x
  3. Step 3: Cross multiply
    54,378.84x = 84,028.64 × 84,028.64
  4. Step 4: Simplify right side
    54,378.84x = 7,060,812,445.29
  5. Step 5: Solve for x
    x = 7,060,812,445.29/54,378.84
  6. Step 6: Final answer
    x = 129,844.84

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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.