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Finding the Third Proportional to 112.96 and 176.08

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Solution

The third proportional to 112.96 and 176.08 is: 274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.96 : 176.08 = 176.08 : x
  2. Step 2: Convert to fraction form
    112.96/176.08 = 176.08/x
  3. Step 3: Cross multiply
    112.96x = 176.08 × 176.08
  4. Step 4: Simplify right side
    112.96x = 31,004.19
  5. Step 5: Solve for x
    x = 31,004.19/112.96
  6. Step 6: Final answer
    x = 274.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.