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Finding the Third Proportional to 71,203.50 and 168,083.06

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Solution

The third proportional to 71,203.50 and 168,083.06 is: 396,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.50 : 168,083.06 = 168,083.06 : x
  2. Step 2: Convert to fraction form
    71,203.50/168,083.06 = 168,083.06/x
  3. Step 3: Cross multiply
    71,203.50x = 168,083.06 × 168,083.06
  4. Step 4: Simplify right side
    71,203.50x = 28,251,915,899.38
  5. Step 5: Solve for x
    x = 28,251,915,899.38/71,203.50
  6. Step 6: Final answer
    x = 396,777.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.