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Finding the Third Proportional to 85,734 and 125,247

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Solution

The third proportional to 85,734 and 125,247 is: 182,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,734 : 125,247 = 125,247 : x
  2. Step 2: Convert to fraction form
    85,734/125,247 = 125,247/x
  3. Step 3: Cross multiply
    85,734x = 125,247 × 125,247
  4. Step 4: Simplify right side
    85,734x = 15,686,811,009
  5. Step 5: Solve for x
    x = 15,686,811,009/85,734
  6. Step 6: Final answer
    x = 182,970.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.