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Finding the Third Proportional to 67,052 and 146,906

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Solution

The third proportional to 67,052 and 146,906 is: 321,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,052 : 146,906 = 146,906 : x
  2. Step 2: Convert to fraction form
    67,052/146,906 = 146,906/x
  3. Step 3: Cross multiply
    67,052x = 146,906 × 146,906
  4. Step 4: Simplify right side
    67,052x = 21,581,372,836
  5. Step 5: Solve for x
    x = 21,581,372,836/67,052
  6. Step 6: Final answer
    x = 321,860.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.