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Finding the Third Proportional to 67,264 and 101,055

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Solution

The third proportional to 67,264 and 101,055 is: 151,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,264 : 101,055 = 101,055 : x
  2. Step 2: Convert to fraction form
    67,264/101,055 = 101,055/x
  3. Step 3: Cross multiply
    67,264x = 101,055 × 101,055
  4. Step 4: Simplify right side
    67,264x = 10,212,113,025
  5. Step 5: Solve for x
    x = 10,212,113,025/67,264
  6. Step 6: Final answer
    x = 151,821.38

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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.