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Finding the Third Proportional to 42,612 and 65,912

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Solution

The third proportional to 42,612 and 65,912 is: 101,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,612 : 65,912 = 65,912 : x
  2. Step 2: Convert to fraction form
    42,612/65,912 = 65,912/x
  3. Step 3: Cross multiply
    42,612x = 65,912 × 65,912
  4. Step 4: Simplify right side
    42,612x = 4,344,391,744
  5. Step 5: Solve for x
    x = 4,344,391,744/42,612
  6. Step 6: Final answer
    x = 101,952.31

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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.