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Finding the Third Proportional to 74,910.75 and 160,938.50

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Solution

The third proportional to 74,910.75 and 160,938.50 is: 345,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,910.75 : 160,938.50 = 160,938.50 : x
  2. Step 2: Convert to fraction form
    74,910.75/160,938.50 = 160,938.50/x
  3. Step 3: Cross multiply
    74,910.75x = 160,938.50 × 160,938.50
  4. Step 4: Simplify right side
    74,910.75x = 25,901,200,782.25
  5. Step 5: Solve for x
    x = 25,901,200,782.25/74,910.75
  6. Step 6: Final answer
    x = 345,760.80

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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.