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Finding the Third Proportional to 125,015 and 198,593

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Solution

The third proportional to 125,015 and 198,593 is: 315,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,015 : 198,593 = 198,593 : x
  2. Step 2: Convert to fraction form
    125,015/198,593 = 198,593/x
  3. Step 3: Cross multiply
    125,015x = 198,593 × 198,593
  4. Step 4: Simplify right side
    125,015x = 39,439,179,649
  5. Step 5: Solve for x
    x = 39,439,179,649/125,015
  6. Step 6: Final answer
    x = 315,475.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.