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Finding the Third Proportional to 85,321 and 125,795

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Solution

The third proportional to 85,321 and 125,795 is: 185,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,321 : 125,795 = 125,795 : x
  2. Step 2: Convert to fraction form
    85,321/125,795 = 125,795/x
  3. Step 3: Cross multiply
    85,321x = 125,795 × 125,795
  4. Step 4: Simplify right side
    85,321x = 15,824,382,025
  5. Step 5: Solve for x
    x = 15,824,382,025/85,321
  6. Step 6: Final answer
    x = 185,468.78

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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.