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Finding the Third Proportional to 98.93 and 135.95

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Solution

The third proportional to 98.93 and 135.95 is: 186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.93 : 135.95 = 135.95 : x
  2. Step 2: Convert to fraction form
    98.93/135.95 = 135.95/x
  3. Step 3: Cross multiply
    98.93x = 135.95 × 135.95
  4. Step 4: Simplify right side
    98.93x = 18,482.19
  5. Step 5: Solve for x
    x = 18,482.19/98.93
  6. Step 6: Final answer
    x = 186.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.