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Finding the Third Proportional to 53.95 and 115.49

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Solution

The third proportional to 53.95 and 115.49 is: 247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.95 : 115.49 = 115.49 : x
  2. Step 2: Convert to fraction form
    53.95/115.49 = 115.49/x
  3. Step 3: Cross multiply
    53.95x = 115.49 × 115.49
  4. Step 4: Simplify right side
    53.95x = 13,337.54
  5. Step 5: Solve for x
    x = 13,337.54/53.95
  6. Step 6: Final answer
    x = 247.23

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Why These Related Problems?

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