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Finding the Third Proportional to 49,564 and 107,336

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Solution

The third proportional to 49,564 and 107,336 is: 232,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,564 : 107,336 = 107,336 : x
  2. Step 2: Convert to fraction form
    49,564/107,336 = 107,336/x
  3. Step 3: Cross multiply
    49,564x = 107,336 × 107,336
  4. Step 4: Simplify right side
    49,564x = 11,521,016,896
  5. Step 5: Solve for x
    x = 11,521,016,896/49,564
  6. Step 6: Final answer
    x = 232,447.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.