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Finding the Third Proportional to 124.81 and 186.31

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Solution

The third proportional to 124.81 and 186.31 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.81 : 186.31 = 186.31 : x
  2. Step 2: Convert to fraction form
    124.81/186.31 = 186.31/x
  3. Step 3: Cross multiply
    124.81x = 186.31 × 186.31
  4. Step 4: Simplify right side
    124.81x = 34,712.35
  5. Step 5: Solve for x
    x = 34,712.35/124.81
  6. Step 6: Final answer
    x = 278.12

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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.