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Finding the Third Proportional to 67,212 and 100,458

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Solution

The third proportional to 67,212 and 100,458 is: 150,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,212 : 100,458 = 100,458 : x
  2. Step 2: Convert to fraction form
    67,212/100,458 = 100,458/x
  3. Step 3: Cross multiply
    67,212x = 100,458 × 100,458
  4. Step 4: Simplify right side
    67,212x = 10,091,809,764
  5. Step 5: Solve for x
    x = 10,091,809,764/67,212
  6. Step 6: Final answer
    x = 150,148.93

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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.