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Finding the Third Proportional to 55.05 and 85.43

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Solution

The third proportional to 55.05 and 85.43 is: 132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.05 : 85.43 = 85.43 : x
  2. Step 2: Convert to fraction form
    55.05/85.43 = 85.43/x
  3. Step 3: Cross multiply
    55.05x = 85.43 × 85.43
  4. Step 4: Simplify right side
    55.05x = 7,298.23
  5. Step 5: Solve for x
    x = 7,298.23/55.05
  6. Step 6: Final answer
    x = 132.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.