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Finding the Third Proportional to 49,517 and 108,106

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Solution

The third proportional to 49,517 and 108,106 is: 236,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,517 : 108,106 = 108,106 : x
  2. Step 2: Convert to fraction form
    49,517/108,106 = 108,106/x
  3. Step 3: Cross multiply
    49,517x = 108,106 × 108,106
  4. Step 4: Simplify right side
    49,517x = 11,686,907,236
  5. Step 5: Solve for x
    x = 11,686,907,236/49,517
  6. Step 6: Final answer
    x = 236,018.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.