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Finding the Third Proportional to 67,404 and 102,034

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Solution

The third proportional to 67,404 and 102,034 is: 154,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,404 : 102,034 = 102,034 : x
  2. Step 2: Convert to fraction form
    67,404/102,034 = 102,034/x
  3. Step 3: Cross multiply
    67,404x = 102,034 × 102,034
  4. Step 4: Simplify right side
    67,404x = 10,410,937,156
  5. Step 5: Solve for x
    x = 10,410,937,156/67,404
  6. Step 6: Final answer
    x = 154,455.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.