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Finding the Third Proportional to 131,503.50 and 188,036.44

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Solution

The third proportional to 131,503.50 and 188,036.44 is: 268,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,503.50 : 188,036.44 = 188,036.44 : x
  2. Step 2: Convert to fraction form
    131,503.50/188,036.44 = 188,036.44/x
  3. Step 3: Cross multiply
    131,503.50x = 188,036.44 × 188,036.44
  4. Step 4: Simplify right side
    131,503.50x = 35,357,701,827.69
  5. Step 5: Solve for x
    x = 35,357,701,827.69/131,503.50
  6. Step 6: Final answer
    x = 268,872.71

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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.