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Finding the Third Proportional to 124.31 and 186.09

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Solution

The third proportional to 124.31 and 186.09 is: 278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.31 : 186.09 = 186.09 : x
  2. Step 2: Convert to fraction form
    124.31/186.09 = 186.09/x
  3. Step 3: Cross multiply
    124.31x = 186.09 × 186.09
  4. Step 4: Simplify right side
    124.31x = 34,630.88
  5. Step 5: Solve for x
    x = 34,630.88/124.31
  6. Step 6: Final answer
    x = 278.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.