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Finding the Third Proportional to 49,530.94 and 107,901

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Solution

The third proportional to 49,530.94 and 107,901 is: 235,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,530.94 : 107,901 = 107,901 : x
  2. Step 2: Convert to fraction form
    49,530.94/107,901 = 107,901/x
  3. Step 3: Cross multiply
    49,530.94x = 107,901 × 107,901
  4. Step 4: Simplify right side
    49,530.94x = 11,642,625,801
  5. Step 5: Solve for x
    x = 11,642,625,801/49,530.94
  6. Step 6: Final answer
    x = 235,057.65

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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.