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Finding the Third Proportional to 42,399 and 92,087

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Solution

The third proportional to 42,399 and 92,087 is: 200,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,399 : 92,087 = 92,087 : x
  2. Step 2: Convert to fraction form
    42,399/92,087 = 92,087/x
  3. Step 3: Cross multiply
    42,399x = 92,087 × 92,087
  4. Step 4: Simplify right side
    42,399x = 8,480,015,569
  5. Step 5: Solve for x
    x = 8,480,015,569/42,399
  6. Step 6: Final answer
    x = 200,005.08

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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.