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Finding the Third Proportional to 42,737.63 and 91,793.25

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Solution

The third proportional to 42,737.63 and 91,793.25 is: 197,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,737.63 : 91,793.25 = 91,793.25 : x
  2. Step 2: Convert to fraction form
    42,737.63/91,793.25 = 91,793.25/x
  3. Step 3: Cross multiply
    42,737.63x = 91,793.25 × 91,793.25
  4. Step 4: Simplify right side
    42,737.63x = 8,426,000,745.56
  5. Step 5: Solve for x
    x = 8,426,000,745.56/42,737.63
  6. Step 6: Final answer
    x = 197,156.50

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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.