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Finding the Third Proportional to 68 and 146.88

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Solution

The third proportional to 68 and 146.88 is: 317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 146.88 = 146.88 : x
  2. Step 2: Convert to fraction form
    68/146.88 = 146.88/x
  3. Step 3: Cross multiply
    68x = 146.88 × 146.88
  4. Step 4: Simplify right side
    68x = 21,572.27
  5. Step 5: Solve for x
    x = 21,572.27/68
  6. Step 6: Final answer
    x = 317.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.