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Finding the Third Proportional to 67,737.50 and 104,156.75

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Solution

The third proportional to 67,737.50 and 104,156.75 is: 160,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,737.50 : 104,156.75 = 104,156.75 : x
  2. Step 2: Convert to fraction form
    67,737.50/104,156.75 = 104,156.75/x
  3. Step 3: Cross multiply
    67,737.50x = 104,156.75 × 104,156.75
  4. Step 4: Simplify right side
    67,737.50x = 10,848,628,570.56
  5. Step 5: Solve for x
    x = 10,848,628,570.56/67,737.50
  6. Step 6: Final answer
    x = 160,156.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.