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Finding the Third Proportional to 42,734 and 94,045

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Solution

The third proportional to 42,734 and 94,045 is: 206,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,734 : 94,045 = 94,045 : x
  2. Step 2: Convert to fraction form
    42,734/94,045 = 94,045/x
  3. Step 3: Cross multiply
    42,734x = 94,045 × 94,045
  4. Step 4: Simplify right side
    42,734x = 8,844,462,025
  5. Step 5: Solve for x
    x = 8,844,462,025/42,734
  6. Step 6: Final answer
    x = 206,965.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.