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Finding the Third Proportional to 49,906.13 and 102,140.63

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Solution

The third proportional to 49,906.13 and 102,140.63 is: 209,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906.13 : 102,140.63 = 102,140.63 : x
  2. Step 2: Convert to fraction form
    49,906.13/102,140.63 = 102,140.63/x
  3. Step 3: Cross multiply
    49,906.13x = 102,140.63 × 102,140.63
  4. Step 4: Simplify right side
    49,906.13x = 10,432,707,275.39
  5. Step 5: Solve for x
    x = 10,432,707,275.39/49,906.13
  6. Step 6: Final answer
    x = 209,046.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.