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Finding the Third Proportional to 42,744 and 91,800

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Solution

The third proportional to 42,744 and 91,800 is: 197,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,744 : 91,800 = 91,800 : x
  2. Step 2: Convert to fraction form
    42,744/91,800 = 91,800/x
  3. Step 3: Cross multiply
    42,744x = 91,800 × 91,800
  4. Step 4: Simplify right side
    42,744x = 8,427,240,000
  5. Step 5: Solve for x
    x = 8,427,240,000/42,744
  6. Step 6: Final answer
    x = 197,156.09

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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.