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Finding the Third Proportional to 53.31 and 112.32

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Solution

The third proportional to 53.31 and 112.32 is: 236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.31 : 112.32 = 112.32 : x
  2. Step 2: Convert to fraction form
    53.31/112.32 = 112.32/x
  3. Step 3: Cross multiply
    53.31x = 112.32 × 112.32
  4. Step 4: Simplify right side
    53.31x = 12,616.73
  5. Step 5: Solve for x
    x = 12,616.73/53.31
  6. Step 6: Final answer
    x = 236.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.