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Finding the Third Proportional to 131,640.75 and 188,109.56

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Solution

The third proportional to 131,640.75 and 188,109.56 is: 268,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,640.75 : 188,109.56 = 188,109.56 : x
  2. Step 2: Convert to fraction form
    131,640.75/188,109.56 = 188,109.56/x
  3. Step 3: Cross multiply
    131,640.75x = 188,109.56 × 188,109.56
  4. Step 4: Simplify right side
    131,640.75x = 35,385,207,503.94
  5. Step 5: Solve for x
    x = 35,385,207,503.94/131,640.75
  6. Step 6: Final answer
    x = 268,801.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.