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Finding the Third Proportional to 48,300 and 103,741

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Solution

The third proportional to 48,300 and 103,741 is: 222,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,300 : 103,741 = 103,741 : x
  2. Step 2: Convert to fraction form
    48,300/103,741 = 103,741/x
  3. Step 3: Cross multiply
    48,300x = 103,741 × 103,741
  4. Step 4: Simplify right side
    48,300x = 10,762,195,081
  5. Step 5: Solve for x
    x = 10,762,195,081/48,300
  6. Step 6: Final answer
    x = 222,819.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.