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Finding the Third Proportional to 42,652 and 91,472

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Solution

The third proportional to 42,652 and 91,472 is: 196,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652 : 91,472 = 91,472 : x
  2. Step 2: Convert to fraction form
    42,652/91,472 = 91,472/x
  3. Step 3: Cross multiply
    42,652x = 91,472 × 91,472
  4. Step 4: Simplify right side
    42,652x = 8,367,126,784
  5. Step 5: Solve for x
    x = 8,367,126,784/42,652
  6. Step 6: Final answer
    x = 196,171.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.