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Finding the Third Proportional to 50,859.14 and 103,102.24

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Solution

The third proportional to 50,859.14 and 103,102.24 is: 209,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,859.14 : 103,102.24 = 103,102.24 : x
  2. Step 2: Convert to fraction form
    50,859.14/103,102.24 = 103,102.24/x
  3. Step 3: Cross multiply
    50,859.14x = 103,102.24 × 103,102.24
  4. Step 4: Simplify right side
    50,859.14x = 10,630,072,344.09
  5. Step 5: Solve for x
    x = 10,630,072,344.09/50,859.14
  6. Step 6: Final answer
    x = 209,010.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.