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Finding the Third Proportional to 42,287 and 91,865

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Solution

The third proportional to 42,287 and 91,865 is: 199,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,287 : 91,865 = 91,865 : x
  2. Step 2: Convert to fraction form
    42,287/91,865 = 91,865/x
  3. Step 3: Cross multiply
    42,287x = 91,865 × 91,865
  4. Step 4: Simplify right side
    42,287x = 8,439,178,225
  5. Step 5: Solve for x
    x = 8,439,178,225/42,287
  6. Step 6: Final answer
    x = 199,569.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.