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Finding the Third Proportional to 71,144 and 107,185

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Solution

The third proportional to 71,144 and 107,185 is: 161,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,144 : 107,185 = 107,185 : x
  2. Step 2: Convert to fraction form
    71,144/107,185 = 107,185/x
  3. Step 3: Cross multiply
    71,144x = 107,185 × 107,185
  4. Step 4: Simplify right side
    71,144x = 11,488,624,225
  5. Step 5: Solve for x
    x = 11,488,624,225/71,144
  6. Step 6: Final answer
    x = 161,484.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.