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Finding the Third Proportional to 42,661 and 91,863

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Solution

The third proportional to 42,661 and 91,863 is: 197,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,661 : 91,863 = 91,863 : x
  2. Step 2: Convert to fraction form
    42,661/91,863 = 91,863/x
  3. Step 3: Cross multiply
    42,661x = 91,863 × 91,863
  4. Step 4: Simplify right side
    42,661x = 8,438,810,769
  5. Step 5: Solve for x
    x = 8,438,810,769/42,661
  6. Step 6: Final answer
    x = 197,810.90

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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.