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Finding the Third Proportional to 49,950.74 and 107,026.31

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Solution

The third proportional to 49,950.74 and 107,026.31 is: 229,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,950.74 : 107,026.31 = 107,026.31 : x
  2. Step 2: Convert to fraction form
    49,950.74/107,026.31 = 107,026.31/x
  3. Step 3: Cross multiply
    49,950.74x = 107,026.31 × 107,026.31
  4. Step 4: Simplify right side
    49,950.74x = 11,454,631,567.35
  5. Step 5: Solve for x
    x = 11,454,631,567.35/49,950.74
  6. Step 6: Final answer
    x = 229,318.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.