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Finding the Third Proportional to 48,446 and 104,314

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Solution

The third proportional to 48,446 and 104,314 is: 224,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,446 : 104,314 = 104,314 : x
  2. Step 2: Convert to fraction form
    48,446/104,314 = 104,314/x
  3. Step 3: Cross multiply
    48,446x = 104,314 × 104,314
  4. Step 4: Simplify right side
    48,446x = 10,881,410,596
  5. Step 5: Solve for x
    x = 10,881,410,596/48,446
  6. Step 6: Final answer
    x = 224,609.06

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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.