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Finding the Third Proportional to 67,234 and 144,836

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Solution

The third proportional to 67,234 and 144,836 is: 312,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,234 : 144,836 = 144,836 : x
  2. Step 2: Convert to fraction form
    67,234/144,836 = 144,836/x
  3. Step 3: Cross multiply
    67,234x = 144,836 × 144,836
  4. Step 4: Simplify right side
    67,234x = 20,977,466,896
  5. Step 5: Solve for x
    x = 20,977,466,896/67,234
  6. Step 6: Final answer
    x = 312,006.83

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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.