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Finding the Third Proportional to 86,589 and 129,535.88

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Solution

The third proportional to 86,589 and 129,535.88 is: 193,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,589 : 129,535.88 = 129,535.88 : x
  2. Step 2: Convert to fraction form
    86,589/129,535.88 = 129,535.88/x
  3. Step 3: Cross multiply
    86,589x = 129,535.88 × 129,535.88
  4. Step 4: Simplify right side
    86,589x = 16,779,542,912.02
  5. Step 5: Solve for x
    x = 16,779,542,912.02/86,589
  6. Step 6: Final answer
    x = 193,783.77

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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.