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Finding the Third Proportional to 86.38 and 134.00

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Solution

The third proportional to 86.38 and 134.00 is: 207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.38 : 134.00 = 134.00 : x
  2. Step 2: Convert to fraction form
    86.38/134.00 = 134.00/x
  3. Step 3: Cross multiply
    86.38x = 134.00 × 134.00
  4. Step 4: Simplify right side
    86.38x = 17,955.48
  5. Step 5: Solve for x
    x = 17,955.48/86.38
  6. Step 6: Final answer
    x = 207.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.