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Finding the Third Proportional to 42,919 and 92,983

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Solution

The third proportional to 42,919 and 92,983 is: 201,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,919 : 92,983 = 92,983 : x
  2. Step 2: Convert to fraction form
    42,919/92,983 = 92,983/x
  3. Step 3: Cross multiply
    42,919x = 92,983 × 92,983
  4. Step 4: Simplify right side
    42,919x = 8,645,838,289
  5. Step 5: Solve for x
    x = 8,645,838,289/42,919
  6. Step 6: Final answer
    x = 201,445.47

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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.