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Finding the Third Proportional to 91.36 and 135.98

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Solution

The third proportional to 91.36 and 135.98 is: 202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.36 : 135.98 = 135.98 : x
  2. Step 2: Convert to fraction form
    91.36/135.98 = 135.98/x
  3. Step 3: Cross multiply
    91.36x = 135.98 × 135.98
  4. Step 4: Simplify right side
    91.36x = 18,489.36
  5. Step 5: Solve for x
    x = 18,489.36/91.36
  6. Step 6: Final answer
    x = 202.37

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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.