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Finding the Third Proportional to 40,715 and 89,713

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Solution

The third proportional to 40,715 and 89,713 is: 197,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,715 : 89,713 = 89,713 : x
  2. Step 2: Convert to fraction form
    40,715/89,713 = 89,713/x
  3. Step 3: Cross multiply
    40,715x = 89,713 × 89,713
  4. Step 4: Simplify right side
    40,715x = 8,048,422,369
  5. Step 5: Solve for x
    x = 8,048,422,369/40,715
  6. Step 6: Final answer
    x = 197,677.08

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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.