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Finding the Third Proportional to 53.68 and 112.96

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Solution

The third proportional to 53.68 and 112.96 is: 237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.68 : 112.96 = 112.96 : x
  2. Step 2: Convert to fraction form
    53.68/112.96 = 112.96/x
  3. Step 3: Cross multiply
    53.68x = 112.96 × 112.96
  4. Step 4: Simplify right side
    53.68x = 12,759.29
  5. Step 5: Solve for x
    x = 12,759.29/53.68
  6. Step 6: Final answer
    x = 237.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.