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Finding the Third Proportional to 87,042.50 and 190,487

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Solution

The third proportional to 87,042.50 and 190,487 is: 416,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,042.50 : 190,487 = 190,487 : x
  2. Step 2: Convert to fraction form
    87,042.50/190,487 = 190,487/x
  3. Step 3: Cross multiply
    87,042.50x = 190,487 × 190,487
  4. Step 4: Simplify right side
    87,042.50x = 36,285,297,169
  5. Step 5: Solve for x
    x = 36,285,297,169/87,042.50
  6. Step 6: Final answer
    x = 416,868.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.