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Finding the Third Proportional to 41,616 and 91,715

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Solution

The third proportional to 41,616 and 91,715 is: 202,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,616 : 91,715 = 91,715 : x
  2. Step 2: Convert to fraction form
    41,616/91,715 = 91,715/x
  3. Step 3: Cross multiply
    41,616x = 91,715 × 91,715
  4. Step 4: Simplify right side
    41,616x = 8,411,641,225
  5. Step 5: Solve for x
    x = 8,411,641,225/41,616
  6. Step 6: Final answer
    x = 202,125.17

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Why These Related Problems?

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