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Finding the Third Proportional to 85,144 and 125,243

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Solution

The third proportional to 85,144 and 125,243 is: 184,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,144 : 125,243 = 125,243 : x
  2. Step 2: Convert to fraction form
    85,144/125,243 = 125,243/x
  3. Step 3: Cross multiply
    85,144x = 125,243 × 125,243
  4. Step 4: Simplify right side
    85,144x = 15,685,809,049
  5. Step 5: Solve for x
    x = 15,685,809,049/85,144
  6. Step 6: Final answer
    x = 184,226.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.