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Finding the Third Proportional to 131,553 and 192,415

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Solution

The third proportional to 131,553 and 192,415 is: 281,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,553 : 192,415 = 192,415 : x
  2. Step 2: Convert to fraction form
    131,553/192,415 = 192,415/x
  3. Step 3: Cross multiply
    131,553x = 192,415 × 192,415
  4. Step 4: Simplify right side
    131,553x = 37,023,532,225
  5. Step 5: Solve for x
    x = 37,023,532,225/131,553
  6. Step 6: Final answer
    x = 281,434.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.