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Finding the Third Proportional to 124,046.44 and 185,581.13

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Solution

The third proportional to 124,046.44 and 185,581.13 is: 277,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,046.44 : 185,581.13 = 185,581.13 : x
  2. Step 2: Convert to fraction form
    124,046.44/185,581.13 = 185,581.13/x
  3. Step 3: Cross multiply
    124,046.44x = 185,581.13 × 185,581.13
  4. Step 4: Simplify right side
    124,046.44x = 34,440,353,956.27
  5. Step 5: Solve for x
    x = 34,440,353,956.27/124,046.44
  6. Step 6: Final answer
    x = 277,640.81

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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.