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Finding the Third Proportional to 92,214 and 133,272

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Solution

The third proportional to 92,214 and 133,272 is: 192,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,214 : 133,272 = 133,272 : x
  2. Step 2: Convert to fraction form
    92,214/133,272 = 133,272/x
  3. Step 3: Cross multiply
    92,214x = 133,272 × 133,272
  4. Step 4: Simplify right side
    92,214x = 17,761,425,984
  5. Step 5: Solve for x
    x = 17,761,425,984/92,214
  6. Step 6: Final answer
    x = 192,610.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.