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Finding the Third Proportional to 67,827 and 92,945

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Solution

The third proportional to 67,827 and 92,945 is: 127,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,827 : 92,945 = 92,945 : x
  2. Step 2: Convert to fraction form
    67,827/92,945 = 92,945/x
  3. Step 3: Cross multiply
    67,827x = 92,945 × 92,945
  4. Step 4: Simplify right side
    67,827x = 8,638,773,025
  5. Step 5: Solve for x
    x = 8,638,773,025/67,827
  6. Step 6: Final answer
    x = 127,364.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.