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Finding the Third Proportional to 67,014 and 103,670

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Solution

The third proportional to 67,014 and 103,670 is: 160,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,014 : 103,670 = 103,670 : x
  2. Step 2: Convert to fraction form
    67,014/103,670 = 103,670/x
  3. Step 3: Cross multiply
    67,014x = 103,670 × 103,670
  4. Step 4: Simplify right side
    67,014x = 10,747,468,900
  5. Step 5: Solve for x
    x = 10,747,468,900/67,014
  6. Step 6: Final answer
    x = 160,376.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.