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Finding the Third Proportional to 49,938 and 107,287.50

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Solution

The third proportional to 49,938 and 107,287.50 is: 230,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,938 : 107,287.50 = 107,287.50 : x
  2. Step 2: Convert to fraction form
    49,938/107,287.50 = 107,287.50/x
  3. Step 3: Cross multiply
    49,938x = 107,287.50 × 107,287.50
  4. Step 4: Simplify right side
    49,938x = 11,510,607,656.25
  5. Step 5: Solve for x
    x = 11,510,607,656.25/49,938
  6. Step 6: Final answer
    x = 230,497.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.