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Finding the Third Proportional to 87,135.75 and 190,674

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Solution

The third proportional to 87,135.75 and 190,674 is: 417,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,135.75 : 190,674 = 190,674 : x
  2. Step 2: Convert to fraction form
    87,135.75/190,674 = 190,674/x
  3. Step 3: Cross multiply
    87,135.75x = 190,674 × 190,674
  4. Step 4: Simplify right side
    87,135.75x = 36,356,574,276
  5. Step 5: Solve for x
    x = 36,356,574,276/87,135.75
  6. Step 6: Final answer
    x = 417,240.62

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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.