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Finding the Third Proportional to 42,012 and 87,920

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Solution

The third proportional to 42,012 and 87,920 is: 183,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012 : 87,920 = 87,920 : x
  2. Step 2: Convert to fraction form
    42,012/87,920 = 87,920/x
  3. Step 3: Cross multiply
    42,012x = 87,920 × 87,920
  4. Step 4: Simplify right side
    42,012x = 7,729,926,400
  5. Step 5: Solve for x
    x = 7,729,926,400/42,012
  6. Step 6: Final answer
    x = 183,993.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.