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Finding the Third Proportional to 124.03 and 185.41

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Solution

The third proportional to 124.03 and 185.41 is: 277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.03 : 185.41 = 185.41 : x
  2. Step 2: Convert to fraction form
    124.03/185.41 = 185.41/x
  3. Step 3: Cross multiply
    124.03x = 185.41 × 185.41
  4. Step 4: Simplify right side
    124.03x = 34,378.37
  5. Step 5: Solve for x
    x = 34,378.37/124.03
  6. Step 6: Final answer
    x = 277.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.