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Finding the Third Proportional to 85,833 and 125,677

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Solution

The third proportional to 85,833 and 125,677 is: 184,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,833 : 125,677 = 125,677 : x
  2. Step 2: Convert to fraction form
    85,833/125,677 = 125,677/x
  3. Step 3: Cross multiply
    85,833x = 125,677 × 125,677
  4. Step 4: Simplify right side
    85,833x = 15,794,708,329
  5. Step 5: Solve for x
    x = 15,794,708,329/85,833
  6. Step 6: Final answer
    x = 184,016.73

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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.