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Finding the Third Proportional to 49,444 and 102,392

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Solution

The third proportional to 49,444 and 102,392 is: 212,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,444 : 102,392 = 102,392 : x
  2. Step 2: Convert to fraction form
    49,444/102,392 = 102,392/x
  3. Step 3: Cross multiply
    49,444x = 102,392 × 102,392
  4. Step 4: Simplify right side
    49,444x = 10,484,121,664
  5. Step 5: Solve for x
    x = 10,484,121,664/49,444
  6. Step 6: Final answer
    x = 212,040.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.