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Finding the Third Proportional to 74,107.41 and 164,793.87

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Solution

The third proportional to 74,107.41 and 164,793.87 is: 366,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,107.41 : 164,793.87 = 164,793.87 : x
  2. Step 2: Convert to fraction form
    74,107.41/164,793.87 = 164,793.87/x
  3. Step 3: Cross multiply
    74,107.41x = 164,793.87 × 164,793.87
  4. Step 4: Simplify right side
    74,107.41x = 27,157,018,662.61
  5. Step 5: Solve for x
    x = 27,157,018,662.61/74,107.41
  6. Step 6: Final answer
    x = 366,454.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.