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Finding the Third Proportional to 71,703 and 105,084

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Solution

The third proportional to 71,703 and 105,084 is: 154,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,703 : 105,084 = 105,084 : x
  2. Step 2: Convert to fraction form
    71,703/105,084 = 105,084/x
  3. Step 3: Cross multiply
    71,703x = 105,084 × 105,084
  4. Step 4: Simplify right side
    71,703x = 11,042,647,056
  5. Step 5: Solve for x
    x = 11,042,647,056/71,703
  6. Step 6: Final answer
    x = 154,005.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.