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Finding the Third Proportional to 41,715 and 88,967.25

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Solution

The third proportional to 41,715 and 88,967.25 is: 189,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,715 : 88,967.25 = 88,967.25 : x
  2. Step 2: Convert to fraction form
    41,715/88,967.25 = 88,967.25/x
  3. Step 3: Cross multiply
    41,715x = 88,967.25 × 88,967.25
  4. Step 4: Simplify right side
    41,715x = 7,915,171,572.56
  5. Step 5: Solve for x
    x = 7,915,171,572.56/41,715
  6. Step 6: Final answer
    x = 189,744.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.