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Finding the Third Proportional to 112.13 and 234.93

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Solution

The third proportional to 112.13 and 234.93 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.13 : 234.93 = 234.93 : x
  2. Step 2: Convert to fraction form
    112.13/234.93 = 234.93/x
  3. Step 3: Cross multiply
    112.13x = 234.93 × 234.93
  4. Step 4: Simplify right side
    112.13x = 55,192.88
  5. Step 5: Solve for x
    x = 55,192.88/112.13
  6. Step 6: Final answer
    x = 492.24

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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.