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Finding the Third Proportional to 131,222 and 192,459

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Solution

The third proportional to 131,222 and 192,459 is: 282,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,222 : 192,459 = 192,459 : x
  2. Step 2: Convert to fraction form
    131,222/192,459 = 192,459/x
  3. Step 3: Cross multiply
    131,222x = 192,459 × 192,459
  4. Step 4: Simplify right side
    131,222x = 37,040,466,681
  5. Step 5: Solve for x
    x = 37,040,466,681/131,222
  6. Step 6: Final answer
    x = 282,273.30

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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.