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Finding the Third Proportional to 50,036.06 and 71,224.31

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Solution

The third proportional to 50,036.06 and 71,224.31 is: 101,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,036.06 : 71,224.31 = 71,224.31 : x
  2. Step 2: Convert to fraction form
    50,036.06/71,224.31 = 71,224.31/x
  3. Step 3: Cross multiply
    50,036.06x = 71,224.31 × 71,224.31
  4. Step 4: Simplify right side
    50,036.06x = 5,072,902,691.10
  5. Step 5: Solve for x
    x = 5,072,902,691.10/50,036.06
  6. Step 6: Final answer
    x = 101,384.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.