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Finding the Third Proportional to 67,064 and 100,764

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Solution

The third proportional to 67,064 and 100,764 is: 151,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,064 : 100,764 = 100,764 : x
  2. Step 2: Convert to fraction form
    67,064/100,764 = 100,764/x
  3. Step 3: Cross multiply
    67,064x = 100,764 × 100,764
  4. Step 4: Simplify right side
    67,064x = 10,153,383,696
  5. Step 5: Solve for x
    x = 10,153,383,696/67,064
  6. Step 6: Final answer
    x = 151,398.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.