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Finding the Third Proportional to 95,586.75 and 143,416.13

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Solution

The third proportional to 95,586.75 and 143,416.13 is: 215,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,586.75 : 143,416.13 = 143,416.13 : x
  2. Step 2: Convert to fraction form
    95,586.75/143,416.13 = 143,416.13/x
  3. Step 3: Cross multiply
    95,586.75x = 143,416.13 × 143,416.13
  4. Step 4: Simplify right side
    95,586.75x = 20,568,184,910.02
  5. Step 5: Solve for x
    x = 20,568,184,910.02/95,586.75
  6. Step 6: Final answer
    x = 215,178.20

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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.