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Finding the Third Proportional to 92 and 162.25

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Solution

The third proportional to 92 and 162.25 is: 286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92 : 162.25 = 162.25 : x
  2. Step 2: Convert to fraction form
    92/162.25 = 162.25/x
  3. Step 3: Cross multiply
    92x = 162.25 × 162.25
  4. Step 4: Simplify right side
    92x = 26,325.06
  5. Step 5: Solve for x
    x = 26,325.06/92
  6. Step 6: Final answer
    x = 286.14

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.