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Finding the Third Proportional to 72.84 and 112.43

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Solution

The third proportional to 72.84 and 112.43 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.84 : 112.43 = 112.43 : x
  2. Step 2: Convert to fraction form
    72.84/112.43 = 112.43/x
  3. Step 3: Cross multiply
    72.84x = 112.43 × 112.43
  4. Step 4: Simplify right side
    72.84x = 12,640.43
  5. Step 5: Solve for x
    x = 12,640.43/72.84
  6. Step 6: Final answer
    x = 173.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.