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Finding the Third Proportional to 144,510 and 191,799

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Solution

The third proportional to 144,510 and 191,799 is: 254,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,510 : 191,799 = 191,799 : x
  2. Step 2: Convert to fraction form
    144,510/191,799 = 191,799/x
  3. Step 3: Cross multiply
    144,510x = 191,799 × 191,799
  4. Step 4: Simplify right side
    144,510x = 36,786,856,401
  5. Step 5: Solve for x
    x = 36,786,856,401/144,510
  6. Step 6: Final answer
    x = 254,562.70

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.