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Finding the Third Proportional to 65.81 and 96.19

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Solution

The third proportional to 65.81 and 96.19 is: 140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 96.19 = 96.19 : x
  2. Step 2: Convert to fraction form
    65.81/96.19 = 96.19/x
  3. Step 3: Cross multiply
    65.81x = 96.19 × 96.19
  4. Step 4: Simplify right side
    65.81x = 9,252.04
  5. Step 5: Solve for x
    x = 9,252.04/65.81
  6. Step 6: Final answer
    x = 140.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.