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Finding the Third Proportional to 48,438 and 104,814

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Solution

The third proportional to 48,438 and 104,814 is: 226,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438 : 104,814 = 104,814 : x
  2. Step 2: Convert to fraction form
    48,438/104,814 = 104,814/x
  3. Step 3: Cross multiply
    48,438x = 104,814 × 104,814
  4. Step 4: Simplify right side
    48,438x = 10,985,974,596
  5. Step 5: Solve for x
    x = 10,985,974,596/48,438
  6. Step 6: Final answer
    x = 226,804.88

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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.