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Finding the Third Proportional to 49,801.50 and 107,379

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Solution

The third proportional to 49,801.50 and 107,379 is: 231,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801.50 : 107,379 = 107,379 : x
  2. Step 2: Convert to fraction form
    49,801.50/107,379 = 107,379/x
  3. Step 3: Cross multiply
    49,801.50x = 107,379 × 107,379
  4. Step 4: Simplify right side
    49,801.50x = 11,530,249,641
  5. Step 5: Solve for x
    x = 11,530,249,641/49,801.50
  6. Step 6: Final answer
    x = 231,524.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.