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Finding the Third Proportional to 68.34 and 102.99

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Solution

The third proportional to 68.34 and 102.99 is: 155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 102.99 = 102.99 : x
  2. Step 2: Convert to fraction form
    68.34/102.99 = 102.99/x
  3. Step 3: Cross multiply
    68.34x = 102.99 × 102.99
  4. Step 4: Simplify right side
    68.34x = 10,606.99
  5. Step 5: Solve for x
    x = 10,606.99/68.34
  6. Step 6: Final answer
    x = 155.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.