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Finding the Third Proportional to 85.13 and 135

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Solution

The third proportional to 85.13 and 135 is: 214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.13 : 135 = 135 : x
  2. Step 2: Convert to fraction form
    85.13/135 = 135/x
  3. Step 3: Cross multiply
    85.13x = 135 × 135
  4. Step 4: Simplify right side
    85.13x = 18,225
  5. Step 5: Solve for x
    x = 18,225/85.13
  6. Step 6: Final answer
    x = 214.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.