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Finding the Third Proportional to 81,504 and 174,952.13

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Solution

The third proportional to 81,504 and 174,952.13 is: 375,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,504 : 174,952.13 = 174,952.13 : x
  2. Step 2: Convert to fraction form
    81,504/174,952.13 = 174,952.13/x
  3. Step 3: Cross multiply
    81,504x = 174,952.13 × 174,952.13
  4. Step 4: Simplify right side
    81,504x = 30,608,246,042.02
  5. Step 5: Solve for x
    x = 30,608,246,042.02/81,504
  6. Step 6: Final answer
    x = 375,542.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.