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Finding the Third Proportional to 42,596 and 92,626

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Solution

The third proportional to 42,596 and 92,626 is: 201,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,596 : 92,626 = 92,626 : x
  2. Step 2: Convert to fraction form
    42,596/92,626 = 92,626/x
  3. Step 3: Cross multiply
    42,596x = 92,626 × 92,626
  4. Step 4: Simplify right side
    42,596x = 8,579,575,876
  5. Step 5: Solve for x
    x = 8,579,575,876/42,596
  6. Step 6: Final answer
    x = 201,417.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.