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Finding the Third Proportional to 91.69 and 136.69

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Solution

The third proportional to 91.69 and 136.69 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.69 : 136.69 = 136.69 : x
  2. Step 2: Convert to fraction form
    91.69/136.69 = 136.69/x
  3. Step 3: Cross multiply
    91.69x = 136.69 × 136.69
  4. Step 4: Simplify right side
    91.69x = 18,683.47
  5. Step 5: Solve for x
    x = 18,683.47/91.69
  6. Step 6: Final answer
    x = 203.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.