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Finding the Third Proportional to 131,712.25 and 188,213.94

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Solution

The third proportional to 131,712.25 and 188,213.94 is: 268,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,712.25 : 188,213.94 = 188,213.94 : x
  2. Step 2: Convert to fraction form
    131,712.25/188,213.94 = 188,213.94/x
  3. Step 3: Cross multiply
    131,712.25x = 188,213.94 × 188,213.94
  4. Step 4: Simplify right side
    131,712.25x = 35,424,486,269.25
  5. Step 5: Solve for x
    x = 35,424,486,269.25/131,712.25
  6. Step 6: Final answer
    x = 268,953.62

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Why These Related Problems?

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