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Finding the Third Proportional to 49.66 and 112.13

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Solution

The third proportional to 49.66 and 112.13 is: 253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.66 : 112.13 = 112.13 : x
  2. Step 2: Convert to fraction form
    49.66/112.13 = 112.13/x
  3. Step 3: Cross multiply
    49.66x = 112.13 × 112.13
  4. Step 4: Simplify right side
    49.66x = 12,572.34
  5. Step 5: Solve for x
    x = 12,572.34/49.66
  6. Step 6: Final answer
    x = 253.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.