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Finding the Third Proportional to 49,912.50 and 109,071

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Solution

The third proportional to 49,912.50 and 109,071 is: 238,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,912.50 : 109,071 = 109,071 : x
  2. Step 2: Convert to fraction form
    49,912.50/109,071 = 109,071/x
  3. Step 3: Cross multiply
    49,912.50x = 109,071 × 109,071
  4. Step 4: Simplify right side
    49,912.50x = 11,896,483,041
  5. Step 5: Solve for x
    x = 11,896,483,041/49,912.50
  6. Step 6: Final answer
    x = 238,346.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.