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Finding the Third Proportional to 42,238 and 90,716

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Solution

The third proportional to 42,238 and 90,716 is: 194,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,238 : 90,716 = 90,716 : x
  2. Step 2: Convert to fraction form
    42,238/90,716 = 90,716/x
  3. Step 3: Cross multiply
    42,238x = 90,716 × 90,716
  4. Step 4: Simplify right side
    42,238x = 8,229,392,656
  5. Step 5: Solve for x
    x = 8,229,392,656/42,238
  6. Step 6: Final answer
    x = 194,833.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.