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Finding the Third Proportional to 92,426 and 132,174

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Solution

The third proportional to 92,426 and 132,174 is: 189,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,426 : 132,174 = 132,174 : x
  2. Step 2: Convert to fraction form
    92,426/132,174 = 132,174/x
  3. Step 3: Cross multiply
    92,426x = 132,174 × 132,174
  4. Step 4: Simplify right side
    92,426x = 17,469,966,276
  5. Step 5: Solve for x
    x = 17,469,966,276/92,426
  6. Step 6: Final answer
    x = 189,015.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.