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Finding the Third Proportional to 75.52 and 162.21

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Solution

The third proportional to 75.52 and 162.21 is: 348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.52 : 162.21 = 162.21 : x
  2. Step 2: Convert to fraction form
    75.52/162.21 = 162.21/x
  3. Step 3: Cross multiply
    75.52x = 162.21 × 162.21
  4. Step 4: Simplify right side
    75.52x = 26,312.39
  5. Step 5: Solve for x
    x = 26,312.39/75.52
  6. Step 6: Final answer
    x = 348.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.