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Finding the Third Proportional to 42,211 and 90,071

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Solution

The third proportional to 42,211 and 90,071 is: 192,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,211 : 90,071 = 90,071 : x
  2. Step 2: Convert to fraction form
    42,211/90,071 = 90,071/x
  3. Step 3: Cross multiply
    42,211x = 90,071 × 90,071
  4. Step 4: Simplify right side
    42,211x = 8,112,785,041
  5. Step 5: Solve for x
    x = 8,112,785,041/42,211
  6. Step 6: Final answer
    x = 192,195.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.