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Finding the Third Proportional to 49,207.50 and 74,631.38

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Solution

The third proportional to 49,207.50 and 74,631.38 is: 113,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207.50 : 74,631.38 = 74,631.38 : x
  2. Step 2: Convert to fraction form
    49,207.50/74,631.38 = 74,631.38/x
  3. Step 3: Cross multiply
    49,207.50x = 74,631.38 × 74,631.38
  4. Step 4: Simplify right side
    49,207.50x = 5,569,842,134.39
  5. Step 5: Solve for x
    x = 5,569,842,134.39/49,207.50
  6. Step 6: Final answer
    x = 113,190.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.