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Finding the Third Proportional to 42,606 and 92,901.94

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Solution

The third proportional to 42,606 and 92,901.94 is: 202,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,606 : 92,901.94 = 92,901.94 : x
  2. Step 2: Convert to fraction form
    42,606/92,901.94 = 92,901.94/x
  3. Step 3: Cross multiply
    42,606x = 92,901.94 × 92,901.94
  4. Step 4: Simplify right side
    42,606x = 8,630,769,991.25
  5. Step 5: Solve for x
    x = 8,630,769,991.25/42,606
  6. Step 6: Final answer
    x = 202,571.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.