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Finding the Third Proportional to 68.81 and 99.19

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Solution

The third proportional to 68.81 and 99.19 is: 142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.81 : 99.19 = 99.19 : x
  2. Step 2: Convert to fraction form
    68.81/99.19 = 99.19/x
  3. Step 3: Cross multiply
    68.81x = 99.19 × 99.19
  4. Step 4: Simplify right side
    68.81x = 9,838.16
  5. Step 5: Solve for x
    x = 9,838.16/68.81
  6. Step 6: Final answer
    x = 142.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.