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Finding the Third Proportional to 48,410 and 104,467

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Solution

The third proportional to 48,410 and 104,467 is: 225,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,410 : 104,467 = 104,467 : x
  2. Step 2: Convert to fraction form
    48,410/104,467 = 104,467/x
  3. Step 3: Cross multiply
    48,410x = 104,467 × 104,467
  4. Step 4: Simplify right side
    48,410x = 10,913,354,089
  5. Step 5: Solve for x
    x = 10,913,354,089/48,410
  6. Step 6: Final answer
    x = 225,435.94

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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.