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Finding the Third Proportional to 85,589.75 and 125,215

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Solution

The third proportional to 85,589.75 and 125,215 is: 183,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,589.75 : 125,215 = 125,215 : x
  2. Step 2: Convert to fraction form
    85,589.75/125,215 = 125,215/x
  3. Step 3: Cross multiply
    85,589.75x = 125,215 × 125,215
  4. Step 4: Simplify right side
    85,589.75x = 15,678,796,225
  5. Step 5: Solve for x
    x = 15,678,796,225/85,589.75
  6. Step 6: Final answer
    x = 183,185.44

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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.