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Finding the Third Proportional to 87,828.50 and 131,502.50

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Solution

The third proportional to 87,828.50 and 131,502.50 is: 196,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,828.50 : 131,502.50 = 131,502.50 : x
  2. Step 2: Convert to fraction form
    87,828.50/131,502.50 = 131,502.50/x
  3. Step 3: Cross multiply
    87,828.50x = 131,502.50 × 131,502.50
  4. Step 4: Simplify right side
    87,828.50x = 17,292,907,506.25
  5. Step 5: Solve for x
    x = 17,292,907,506.25/87,828.50
  6. Step 6: Final answer
    x = 196,894.03

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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.