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Finding the Third Proportional to 94,472 and 132,092

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Solution

The third proportional to 94,472 and 132,092 is: 184,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,472 : 132,092 = 132,092 : x
  2. Step 2: Convert to fraction form
    94,472/132,092 = 132,092/x
  3. Step 3: Cross multiply
    94,472x = 132,092 × 132,092
  4. Step 4: Simplify right side
    94,472x = 17,448,296,464
  5. Step 5: Solve for x
    x = 17,448,296,464/94,472
  6. Step 6: Final answer
    x = 184,692.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.