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Finding the Third Proportional to 34,497 and 73,914

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Solution

The third proportional to 34,497 and 73,914 is: 158,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497 : 73,914 = 73,914 : x
  2. Step 2: Convert to fraction form
    34,497/73,914 = 73,914/x
  3. Step 3: Cross multiply
    34,497x = 73,914 × 73,914
  4. Step 4: Simplify right side
    34,497x = 5,463,279,396
  5. Step 5: Solve for x
    x = 5,463,279,396/34,497
  6. Step 6: Final answer
    x = 158,369.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.