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Finding the Third Proportional to 42,295 and 91,877

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Solution

The third proportional to 42,295 and 91,877 is: 199,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295 : 91,877 = 91,877 : x
  2. Step 2: Convert to fraction form
    42,295/91,877 = 91,877/x
  3. Step 3: Cross multiply
    42,295x = 91,877 × 91,877
  4. Step 4: Simplify right side
    42,295x = 8,441,383,129
  5. Step 5: Solve for x
    x = 8,441,383,129/42,295
  6. Step 6: Final answer
    x = 199,583.48

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Why These Related Problems?

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