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Finding the Third Proportional to 41,656 and 91,664

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Solution

The third proportional to 41,656 and 91,664 is: 201,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,656 : 91,664 = 91,664 : x
  2. Step 2: Convert to fraction form
    41,656/91,664 = 91,664/x
  3. Step 3: Cross multiply
    41,656x = 91,664 × 91,664
  4. Step 4: Simplify right side
    41,656x = 8,402,288,896
  5. Step 5: Solve for x
    x = 8,402,288,896/41,656
  6. Step 6: Final answer
    x = 201,706.57

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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.