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Finding the Third Proportional to 92,596.50 and 138,285

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Solution

The third proportional to 92,596.50 and 138,285 is: 206,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,596.50 : 138,285 = 138,285 : x
  2. Step 2: Convert to fraction form
    92,596.50/138,285 = 138,285/x
  3. Step 3: Cross multiply
    92,596.50x = 138,285 × 138,285
  4. Step 4: Simplify right side
    92,596.50x = 19,122,741,225
  5. Step 5: Solve for x
    x = 19,122,741,225/92,596.50
  6. Step 6: Final answer
    x = 206,516.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.