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Finding the Third Proportional to 109.88 and 177.94

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Solution

The third proportional to 109.88 and 177.94 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.88 : 177.94 = 177.94 : x
  2. Step 2: Convert to fraction form
    109.88/177.94 = 177.94/x
  3. Step 3: Cross multiply
    109.88x = 177.94 × 177.94
  4. Step 4: Simplify right side
    109.88x = 31,661.75
  5. Step 5: Solve for x
    x = 31,661.75/109.88
  6. Step 6: Final answer
    x = 288.16

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.