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Finding the Third Proportional to 130,219 and 195,675

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Solution

The third proportional to 130,219 and 195,675 is: 294,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,219 : 195,675 = 195,675 : x
  2. Step 2: Convert to fraction form
    130,219/195,675 = 195,675/x
  3. Step 3: Cross multiply
    130,219x = 195,675 × 195,675
  4. Step 4: Simplify right side
    130,219x = 38,288,705,625
  5. Step 5: Solve for x
    x = 38,288,705,625/130,219
  6. Step 6: Final answer
    x = 294,033.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.