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Finding the Third Proportional to 48,741 and 104,733

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Solution

The third proportional to 48,741 and 104,733 is: 225,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,741 : 104,733 = 104,733 : x
  2. Step 2: Convert to fraction form
    48,741/104,733 = 104,733/x
  3. Step 3: Cross multiply
    48,741x = 104,733 × 104,733
  4. Step 4: Simplify right side
    48,741x = 10,969,001,289
  5. Step 5: Solve for x
    x = 10,969,001,289/48,741
  6. Step 6: Final answer
    x = 225,046.70

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Why These Related Problems?

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