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Finding the Third Proportional to 42,520 and 92,812

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Solution

The third proportional to 42,520 and 92,812 is: 202,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,520 : 92,812 = 92,812 : x
  2. Step 2: Convert to fraction form
    42,520/92,812 = 92,812/x
  3. Step 3: Cross multiply
    42,520x = 92,812 × 92,812
  4. Step 4: Simplify right side
    42,520x = 8,614,067,344
  5. Step 5: Solve for x
    x = 8,614,067,344/42,520
  6. Step 6: Final answer
    x = 202,588.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.