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Finding the Third Proportional to 74,931.75 and 156,791.25

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Solution

The third proportional to 74,931.75 and 156,791.25 is: 328,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,931.75 : 156,791.25 = 156,791.25 : x
  2. Step 2: Convert to fraction form
    74,931.75/156,791.25 = 156,791.25/x
  3. Step 3: Cross multiply
    74,931.75x = 156,791.25 × 156,791.25
  4. Step 4: Simplify right side
    74,931.75x = 24,583,496,076.56
  5. Step 5: Solve for x
    x = 24,583,496,076.56/74,931.75
  6. Step 6: Final answer
    x = 328,078.50

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.