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Finding the Third Proportional to 63,966 and 100,125

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Solution

The third proportional to 63,966 and 100,125 is: 156,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,966 : 100,125 = 100,125 : x
  2. Step 2: Convert to fraction form
    63,966/100,125 = 100,125/x
  3. Step 3: Cross multiply
    63,966x = 100,125 × 100,125
  4. Step 4: Simplify right side
    63,966x = 10,025,015,625
  5. Step 5: Solve for x
    x = 10,025,015,625/63,966
  6. Step 6: Final answer
    x = 156,724.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.