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Finding the Third Proportional to 87.94 and 162.52

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Solution

The third proportional to 87.94 and 162.52 is: 300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.94 : 162.52 = 162.52 : x
  2. Step 2: Convert to fraction form
    87.94/162.52 = 162.52/x
  3. Step 3: Cross multiply
    87.94x = 162.52 × 162.52
  4. Step 4: Simplify right side
    87.94x = 26,411.33
  5. Step 5: Solve for x
    x = 26,411.33/87.94
  6. Step 6: Final answer
    x = 300.34

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.