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Finding the Third Proportional to 41,557.50 and 91,419.75

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Solution

The third proportional to 41,557.50 and 91,419.75 is: 201,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,557.50 : 91,419.75 = 91,419.75 : x
  2. Step 2: Convert to fraction form
    41,557.50/91,419.75 = 91,419.75/x
  3. Step 3: Cross multiply
    41,557.50x = 91,419.75 × 91,419.75
  4. Step 4: Simplify right side
    41,557.50x = 8,357,570,690.06
  5. Step 5: Solve for x
    x = 8,357,570,690.06/41,557.50
  6. Step 6: Final answer
    x = 201,108.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.