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Finding the Third Proportional to 74,911.50 and 160,940.13

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Solution

The third proportional to 74,911.50 and 160,940.13 is: 345,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,911.50 : 160,940.13 = 160,940.13 : x
  2. Step 2: Convert to fraction form
    74,911.50/160,940.13 = 160,940.13/x
  3. Step 3: Cross multiply
    74,911.50x = 160,940.13 × 160,940.13
  4. Step 4: Simplify right side
    74,911.50x = 25,901,723,835.02
  5. Step 5: Solve for x
    x = 25,901,723,835.02/74,911.50
  6. Step 6: Final answer
    x = 345,764.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.