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Finding the Third Proportional to 84.94 and 162.56

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Solution

The third proportional to 84.94 and 162.56 is: 311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.94 : 162.56 = 162.56 : x
  2. Step 2: Convert to fraction form
    84.94/162.56 = 162.56/x
  3. Step 3: Cross multiply
    84.94x = 162.56 × 162.56
  4. Step 4: Simplify right side
    84.94x = 26,426.57
  5. Step 5: Solve for x
    x = 26,426.57/84.94
  6. Step 6: Final answer
    x = 311.13

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.