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Finding the Third Proportional to 85.41 and 124.78

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Solution

The third proportional to 85.41 and 124.78 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.41 : 124.78 = 124.78 : x
  2. Step 2: Convert to fraction form
    85.41/124.78 = 124.78/x
  3. Step 3: Cross multiply
    85.41x = 124.78 × 124.78
  4. Step 4: Simplify right side
    85.41x = 15,570.36
  5. Step 5: Solve for x
    x = 15,570.36/85.41
  6. Step 6: Final answer
    x = 182.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.