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Finding the Third Proportional to 40,250 and 86,664

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Solution

The third proportional to 40,250 and 86,664 is: 186,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,250 : 86,664 = 86,664 : x
  2. Step 2: Convert to fraction form
    40,250/86,664 = 86,664/x
  3. Step 3: Cross multiply
    40,250x = 86,664 × 86,664
  4. Step 4: Simplify right side
    40,250x = 7,510,648,896
  5. Step 5: Solve for x
    x = 7,510,648,896/40,250
  6. Step 6: Final answer
    x = 186,599.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.