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Finding the Third Proportional to 67,468.50 and 100,836

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Solution

The third proportional to 67,468.50 and 100,836 is: 150,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,468.50 : 100,836 = 100,836 : x
  2. Step 2: Convert to fraction form
    67,468.50/100,836 = 100,836/x
  3. Step 3: Cross multiply
    67,468.50x = 100,836 × 100,836
  4. Step 4: Simplify right side
    67,468.50x = 10,167,898,896
  5. Step 5: Solve for x
    x = 10,167,898,896/67,468.50
  6. Step 6: Final answer
    x = 150,705.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.