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Finding the Third Proportional to 54.93 and 117.00

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Solution

The third proportional to 54.93 and 117.00 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.93 : 117.00 = 117.00 : x
  2. Step 2: Convert to fraction form
    54.93/117.00 = 117.00/x
  3. Step 3: Cross multiply
    54.93x = 117.00 × 117.00
  4. Step 4: Simplify right side
    54.93x = 13,688.52
  5. Step 5: Solve for x
    x = 13,688.52/54.93
  6. Step 6: Final answer
    x = 249.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.