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Finding the Third Proportional to 42,867 and 92,889

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Solution

The third proportional to 42,867 and 92,889 is: 201,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,867 : 92,889 = 92,889 : x
  2. Step 2: Convert to fraction form
    42,867/92,889 = 92,889/x
  3. Step 3: Cross multiply
    42,867x = 92,889 × 92,889
  4. Step 4: Simplify right side
    42,867x = 8,628,366,321
  5. Step 5: Solve for x
    x = 8,628,366,321/42,867
  6. Step 6: Final answer
    x = 201,282.25

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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.