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Finding the Third Proportional to 68.48 and 100.31

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Solution

The third proportional to 68.48 and 100.31 is: 146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.48 : 100.31 = 100.31 : x
  2. Step 2: Convert to fraction form
    68.48/100.31 = 100.31/x
  3. Step 3: Cross multiply
    68.48x = 100.31 × 100.31
  4. Step 4: Simplify right side
    68.48x = 10,062.73
  5. Step 5: Solve for x
    x = 10,062.73/68.48
  6. Step 6: Final answer
    x = 146.95

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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.