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Finding the Third Proportional to 67,414 and 101,958

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Solution

The third proportional to 67,414 and 101,958 is: 154,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,414 : 101,958 = 101,958 : x
  2. Step 2: Convert to fraction form
    67,414/101,958 = 101,958/x
  3. Step 3: Cross multiply
    67,414x = 101,958 × 101,958
  4. Step 4: Simplify right side
    67,414x = 10,395,433,764
  5. Step 5: Solve for x
    x = 10,395,433,764/67,414
  6. Step 6: Final answer
    x = 154,202.89

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Why These Related Problems?

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