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Finding the Third Proportional to 42,616 and 91,772.75

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Solution

The third proportional to 42,616 and 91,772.75 is: 197,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,616 : 91,772.75 = 91,772.75 : x
  2. Step 2: Convert to fraction form
    42,616/91,772.75 = 91,772.75/x
  3. Step 3: Cross multiply
    42,616x = 91,772.75 × 91,772.75
  4. Step 4: Simplify right side
    42,616x = 8,422,237,642.56
  5. Step 5: Solve for x
    x = 8,422,237,642.56/42,616
  6. Step 6: Final answer
    x = 197,630.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.