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Finding the Third Proportional to 125,009.25 and 198,586.50

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Solution

The third proportional to 125,009.25 and 198,586.50 is: 315,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,009.25 : 198,586.50 = 198,586.50 : x
  2. Step 2: Convert to fraction form
    125,009.25/198,586.50 = 198,586.50/x
  3. Step 3: Cross multiply
    125,009.25x = 198,586.50 × 198,586.50
  4. Step 4: Simplify right side
    125,009.25x = 39,436,597,982.25
  5. Step 5: Solve for x
    x = 39,436,597,982.25/125,009.25
  6. Step 6: Final answer
    x = 315,469.44

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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.