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Finding the Third Proportional to 92,592 and 131,103

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Solution

The third proportional to 92,592 and 131,103 is: 185,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,592 : 131,103 = 131,103 : x
  2. Step 2: Convert to fraction form
    92,592/131,103 = 131,103/x
  3. Step 3: Cross multiply
    92,592x = 131,103 × 131,103
  4. Step 4: Simplify right side
    92,592x = 17,187,996,609
  5. Step 5: Solve for x
    x = 17,187,996,609/92,592
  6. Step 6: Final answer
    x = 185,631.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.