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Finding the Third Proportional to 92,444 and 132,103

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Solution

The third proportional to 92,444 and 132,103 is: 188,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,444 : 132,103 = 132,103 : x
  2. Step 2: Convert to fraction form
    92,444/132,103 = 132,103/x
  3. Step 3: Cross multiply
    92,444x = 132,103 × 132,103
  4. Step 4: Simplify right side
    92,444x = 17,451,202,609
  5. Step 5: Solve for x
    x = 17,451,202,609/92,444
  6. Step 6: Final answer
    x = 188,775.94

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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.