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Finding the Third Proportional to 139,777 and 186,225

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Solution

The third proportional to 139,777 and 186,225 is: 248,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,777 : 186,225 = 186,225 : x
  2. Step 2: Convert to fraction form
    139,777/186,225 = 186,225/x
  3. Step 3: Cross multiply
    139,777x = 186,225 × 186,225
  4. Step 4: Simplify right side
    139,777x = 34,679,750,625
  5. Step 5: Solve for x
    x = 34,679,750,625/139,777
  6. Step 6: Final answer
    x = 248,107.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.