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Finding the Third Proportional to 42,844 and 92,267

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Solution

The third proportional to 42,844 and 92,267 is: 198,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,844 : 92,267 = 92,267 : x
  2. Step 2: Convert to fraction form
    42,844/92,267 = 92,267/x
  3. Step 3: Cross multiply
    42,844x = 92,267 × 92,267
  4. Step 4: Simplify right side
    42,844x = 8,513,199,289
  5. Step 5: Solve for x
    x = 8,513,199,289/42,844
  6. Step 6: Final answer
    x = 198,702.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.