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Finding the Third Proportional to 66,954 and 103,670

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Solution

The third proportional to 66,954 and 103,670 is: 160,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,954 : 103,670 = 103,670 : x
  2. Step 2: Convert to fraction form
    66,954/103,670 = 103,670/x
  3. Step 3: Cross multiply
    66,954x = 103,670 × 103,670
  4. Step 4: Simplify right side
    66,954x = 10,747,468,900
  5. Step 5: Solve for x
    x = 10,747,468,900/66,954
  6. Step 6: Final answer
    x = 160,520.19

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Why These Related Problems?

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