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Finding the Third Proportional to 42,907 and 92,962

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Solution

The third proportional to 42,907 and 92,962 is: 201,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,907 : 92,962 = 92,962 : x
  2. Step 2: Convert to fraction form
    42,907/92,962 = 92,962/x
  3. Step 3: Cross multiply
    42,907x = 92,962 × 92,962
  4. Step 4: Simplify right side
    42,907x = 8,641,933,444
  5. Step 5: Solve for x
    x = 8,641,933,444/42,907
  6. Step 6: Final answer
    x = 201,410.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.