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Finding the Third Proportional to 96.19 and 139.22

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Solution

The third proportional to 96.19 and 139.22 is: 201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 139.22 = 139.22 : x
  2. Step 2: Convert to fraction form
    96.19/139.22 = 139.22/x
  3. Step 3: Cross multiply
    96.19x = 139.22 × 139.22
  4. Step 4: Simplify right side
    96.19x = 19,381.86
  5. Step 5: Solve for x
    x = 19,381.86/96.19
  6. Step 6: Final answer
    x = 201.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.