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Finding the Third Proportional to 86,529 and 129,793.50

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Solution

The third proportional to 86,529 and 129,793.50 is: 194,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,529 : 129,793.50 = 129,793.50 : x
  2. Step 2: Convert to fraction form
    86,529/129,793.50 = 129,793.50/x
  3. Step 3: Cross multiply
    86,529x = 129,793.50 × 129,793.50
  4. Step 4: Simplify right side
    86,529x = 16,846,352,642.25
  5. Step 5: Solve for x
    x = 16,846,352,642.25/86,529
  6. Step 6: Final answer
    x = 194,690.25

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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.