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Finding the Third Proportional to 46.13 and 90.75

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Solution

The third proportional to 46.13 and 90.75 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.13 : 90.75 = 90.75 : x
  2. Step 2: Convert to fraction form
    46.13/90.75 = 90.75/x
  3. Step 3: Cross multiply
    46.13x = 90.75 × 90.75
  4. Step 4: Simplify right side
    46.13x = 8,235.56
  5. Step 5: Solve for x
    x = 8,235.56/46.13
  6. Step 6: Final answer
    x = 178.55

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.