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Finding the Third Proportional to 42,367 and 91,707

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Solution

The third proportional to 42,367 and 91,707 is: 198,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,367 : 91,707 = 91,707 : x
  2. Step 2: Convert to fraction form
    42,367/91,707 = 91,707/x
  3. Step 3: Cross multiply
    42,367x = 91,707 × 91,707
  4. Step 4: Simplify right side
    42,367x = 8,410,173,849
  5. Step 5: Solve for x
    x = 8,410,173,849/42,367
  6. Step 6: Final answer
    x = 198,507.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.