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Finding the Third Proportional to 114,817.50 and 131,523.75

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Solution

The third proportional to 114,817.50 and 131,523.75 is: 150,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,817.50 : 131,523.75 = 131,523.75 : x
  2. Step 2: Convert to fraction form
    114,817.50/131,523.75 = 131,523.75/x
  3. Step 3: Cross multiply
    114,817.50x = 131,523.75 × 131,523.75
  4. Step 4: Simplify right side
    114,817.50x = 17,298,496,814.06
  5. Step 5: Solve for x
    x = 17,298,496,814.06/114,817.50
  6. Step 6: Final answer
    x = 150,660.80

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.