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Finding the Third Proportional to 81,225 and 125,008

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Solution

The third proportional to 81,225 and 125,008 is: 192,391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,225 : 125,008 = 125,008 : x
  2. Step 2: Convert to fraction form
    81,225/125,008 = 125,008/x
  3. Step 3: Cross multiply
    81,225x = 125,008 × 125,008
  4. Step 4: Simplify right side
    81,225x = 15,627,000,064
  5. Step 5: Solve for x
    x = 15,627,000,064/81,225
  6. Step 6: Final answer
    x = 192,391.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.