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Finding the Third Proportional to 42,322 and 91,025

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Solution

The third proportional to 42,322 and 91,025 is: 195,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322 : 91,025 = 91,025 : x
  2. Step 2: Convert to fraction form
    42,322/91,025 = 91,025/x
  3. Step 3: Cross multiply
    42,322x = 91,025 × 91,025
  4. Step 4: Simplify right side
    42,322x = 8,285,550,625
  5. Step 5: Solve for x
    x = 8,285,550,625/42,322
  6. Step 6: Final answer
    x = 195,774.08

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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.