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Finding the Third Proportional to 93.75 and 139.97

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Solution

The third proportional to 93.75 and 139.97 is: 208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.75 : 139.97 = 139.97 : x
  2. Step 2: Convert to fraction form
    93.75/139.97 = 139.97/x
  3. Step 3: Cross multiply
    93.75x = 139.97 × 139.97
  4. Step 4: Simplify right side
    93.75x = 19,591.25
  5. Step 5: Solve for x
    x = 19,591.25/93.75
  6. Step 6: Final answer
    x = 208.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.