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Finding the Third Proportional to 92,709.50 and 215,675

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Solution

The third proportional to 92,709.50 and 215,675 is: 501,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,709.50 : 215,675 = 215,675 : x
  2. Step 2: Convert to fraction form
    92,709.50/215,675 = 215,675/x
  3. Step 3: Cross multiply
    92,709.50x = 215,675 × 215,675
  4. Step 4: Simplify right side
    92,709.50x = 46,515,705,625
  5. Step 5: Solve for x
    x = 46,515,705,625/92,709.50
  6. Step 6: Final answer
    x = 501,736.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.