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Finding the Third Proportional to 48,412 and 104,471

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Solution

The third proportional to 48,412 and 104,471 is: 225,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412 : 104,471 = 104,471 : x
  2. Step 2: Convert to fraction form
    48,412/104,471 = 104,471/x
  3. Step 3: Cross multiply
    48,412x = 104,471 × 104,471
  4. Step 4: Simplify right side
    48,412x = 10,914,189,841
  5. Step 5: Solve for x
    x = 10,914,189,841/48,412
  6. Step 6: Final answer
    x = 225,443.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.