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Finding the Third Proportional to 85,333.50 and 129,174.75

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Solution

The third proportional to 85,333.50 and 129,174.75 is: 195,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,333.50 : 129,174.75 = 129,174.75 : x
  2. Step 2: Convert to fraction form
    85,333.50/129,174.75 = 129,174.75/x
  3. Step 3: Cross multiply
    85,333.50x = 129,174.75 × 129,174.75
  4. Step 4: Simplify right side
    85,333.50x = 16,686,116,037.56
  5. Step 5: Solve for x
    x = 16,686,116,037.56/85,333.50
  6. Step 6: Final answer
    x = 195,540.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.