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Finding the Third Proportional to 42,884 and 92,296

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Solution

The third proportional to 42,884 and 92,296 is: 198,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,884 : 92,296 = 92,296 : x
  2. Step 2: Convert to fraction form
    42,884/92,296 = 92,296/x
  3. Step 3: Cross multiply
    42,884x = 92,296 × 92,296
  4. Step 4: Simplify right side
    42,884x = 8,518,551,616
  5. Step 5: Solve for x
    x = 8,518,551,616/42,884
  6. Step 6: Final answer
    x = 198,641.72

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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.