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Finding the Third Proportional to 68.41 and 100.34

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Solution

The third proportional to 68.41 and 100.34 is: 147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.41 : 100.34 = 100.34 : x
  2. Step 2: Convert to fraction form
    68.41/100.34 = 100.34/x
  3. Step 3: Cross multiply
    68.41x = 100.34 × 100.34
  4. Step 4: Simplify right side
    68.41x = 10,068.87
  5. Step 5: Solve for x
    x = 10,068.87/68.41
  6. Step 6: Final answer
    x = 147.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.