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Finding the Third Proportional to 49,483 and 106,336

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Solution

The third proportional to 49,483 and 106,336 is: 228,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,483 : 106,336 = 106,336 : x
  2. Step 2: Convert to fraction form
    49,483/106,336 = 106,336/x
  3. Step 3: Cross multiply
    49,483x = 106,336 × 106,336
  4. Step 4: Simplify right side
    49,483x = 11,307,344,896
  5. Step 5: Solve for x
    x = 11,307,344,896/49,483
  6. Step 6: Final answer
    x = 228,509.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.