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Finding the Third Proportional to 54.16 and 115.90

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Solution

The third proportional to 54.16 and 115.90 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.16 : 115.90 = 115.90 : x
  2. Step 2: Convert to fraction form
    54.16/115.90 = 115.90/x
  3. Step 3: Cross multiply
    54.16x = 115.90 × 115.90
  4. Step 4: Simplify right side
    54.16x = 13,432.45
  5. Step 5: Solve for x
    x = 13,432.45/54.16
  6. Step 6: Final answer
    x = 248.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.