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Finding the Third Proportional to 85,953.75 and 129,093

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Solution

The third proportional to 85,953.75 and 129,093 is: 193,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,953.75 : 129,093 = 129,093 : x
  2. Step 2: Convert to fraction form
    85,953.75/129,093 = 129,093/x
  3. Step 3: Cross multiply
    85,953.75x = 129,093 × 129,093
  4. Step 4: Simplify right side
    85,953.75x = 16,665,002,649
  5. Step 5: Solve for x
    x = 16,665,002,649/85,953.75
  6. Step 6: Final answer
    x = 193,883.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.