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Finding the Third Proportional to 42,603 and 92,259

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Solution

The third proportional to 42,603 and 92,259 is: 199,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,603 : 92,259 = 92,259 : x
  2. Step 2: Convert to fraction form
    42,603/92,259 = 92,259/x
  3. Step 3: Cross multiply
    42,603x = 92,259 × 92,259
  4. Step 4: Simplify right side
    42,603x = 8,511,723,081
  5. Step 5: Solve for x
    x = 8,511,723,081/42,603
  6. Step 6: Final answer
    x = 199,791.64

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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.