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Finding the Third Proportional to 74,944.13 and 160,571.63

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Solution

The third proportional to 74,944.13 and 160,571.63 is: 344,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,944.13 : 160,571.63 = 160,571.63 : x
  2. Step 2: Convert to fraction form
    74,944.13/160,571.63 = 160,571.63/x
  3. Step 3: Cross multiply
    74,944.13x = 160,571.63 × 160,571.63
  4. Step 4: Simplify right side
    74,944.13x = 25,783,246,755.14
  5. Step 5: Solve for x
    x = 25,783,246,755.14/74,944.13
  6. Step 6: Final answer
    x = 344,032.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.