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Finding the Third Proportional to 43,767 and 92,772

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Solution

The third proportional to 43,767 and 92,772 is: 196,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,767 : 92,772 = 92,772 : x
  2. Step 2: Convert to fraction form
    43,767/92,772 = 92,772/x
  3. Step 3: Cross multiply
    43,767x = 92,772 × 92,772
  4. Step 4: Simplify right side
    43,767x = 8,606,643,984
  5. Step 5: Solve for x
    x = 8,606,643,984/43,767
  6. Step 6: Final answer
    x = 196,646.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.