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Finding the Third Proportional to 87,834 and 131,512.50

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Solution

The third proportional to 87,834 and 131,512.50 is: 196,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,834 : 131,512.50 = 131,512.50 : x
  2. Step 2: Convert to fraction form
    87,834/131,512.50 = 131,512.50/x
  3. Step 3: Cross multiply
    87,834x = 131,512.50 × 131,512.50
  4. Step 4: Simplify right side
    87,834x = 17,295,537,656.25
  5. Step 5: Solve for x
    x = 17,295,537,656.25/87,834
  6. Step 6: Final answer
    x = 196,911.65

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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.