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Finding the Third Proportional to 74,923.50 and 159,381.75

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Solution

The third proportional to 74,923.50 and 159,381.75 is: 339,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,923.50 : 159,381.75 = 159,381.75 : x
  2. Step 2: Convert to fraction form
    74,923.50/159,381.75 = 159,381.75/x
  3. Step 3: Cross multiply
    74,923.50x = 159,381.75 × 159,381.75
  4. Step 4: Simplify right side
    74,923.50x = 25,402,542,233.06
  5. Step 5: Solve for x
    x = 25,402,542,233.06/74,923.50
  6. Step 6: Final answer
    x = 339,046.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.