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Finding the Third Proportional to 67.69 and 93.09

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Solution

The third proportional to 67.69 and 93.09 is: 128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.69 : 93.09 = 93.09 : x
  2. Step 2: Convert to fraction form
    67.69/93.09 = 93.09/x
  3. Step 3: Cross multiply
    67.69x = 93.09 × 93.09
  4. Step 4: Simplify right side
    67.69x = 8,666.45
  5. Step 5: Solve for x
    x = 8,666.45/67.69
  6. Step 6: Final answer
    x = 128.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.