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Finding the Third Proportional to 92.13 and 139.38

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Solution

The third proportional to 92.13 and 139.38 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.13 : 139.38 = 139.38 : x
  2. Step 2: Convert to fraction form
    92.13/139.38 = 139.38/x
  3. Step 3: Cross multiply
    92.13x = 139.38 × 139.38
  4. Step 4: Simplify right side
    92.13x = 19,425.39
  5. Step 5: Solve for x
    x = 19,425.39/92.13
  6. Step 6: Final answer
    x = 210.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.