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Finding the Third Proportional to 42,703 and 91,723

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Solution

The third proportional to 42,703 and 91,723 is: 197,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,703 : 91,723 = 91,723 : x
  2. Step 2: Convert to fraction form
    42,703/91,723 = 91,723/x
  3. Step 3: Cross multiply
    42,703x = 91,723 × 91,723
  4. Step 4: Simplify right side
    42,703x = 8,413,108,729
  5. Step 5: Solve for x
    x = 8,413,108,729/42,703
  6. Step 6: Final answer
    x = 197,014.47

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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.