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Finding the Third Proportional to 111.75 and 177.81

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Solution

The third proportional to 111.75 and 177.81 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.75 : 177.81 = 177.81 : x
  2. Step 2: Convert to fraction form
    111.75/177.81 = 177.81/x
  3. Step 3: Cross multiply
    111.75x = 177.81 × 177.81
  4. Step 4: Simplify right side
    111.75x = 31,617.29
  5. Step 5: Solve for x
    x = 31,617.29/111.75
  6. Step 6: Final answer
    x = 282.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.