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Finding the Third Proportional to 42,624 and 92,742

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Solution

The third proportional to 42,624 and 92,742 is: 201,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,624 : 92,742 = 92,742 : x
  2. Step 2: Convert to fraction form
    42,624/92,742 = 92,742/x
  3. Step 3: Cross multiply
    42,624x = 92,742 × 92,742
  4. Step 4: Simplify right side
    42,624x = 8,601,078,564
  5. Step 5: Solve for x
    x = 8,601,078,564/42,624
  6. Step 6: Final answer
    x = 201,789.57

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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.