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Finding the Third Proportional to 131,481 and 193,021

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Solution

The third proportional to 131,481 and 193,021 is: 283,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,481 : 193,021 = 193,021 : x
  2. Step 2: Convert to fraction form
    131,481/193,021 = 193,021/x
  3. Step 3: Cross multiply
    131,481x = 193,021 × 193,021
  4. Step 4: Simplify right side
    131,481x = 37,257,106,441
  5. Step 5: Solve for x
    x = 37,257,106,441/131,481
  6. Step 6: Final answer
    x = 283,364.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.