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Finding the Third Proportional to 144,519 and 191,763

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Solution

The third proportional to 144,519 and 191,763 is: 254,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,519 : 191,763 = 191,763 : x
  2. Step 2: Convert to fraction form
    144,519/191,763 = 191,763/x
  3. Step 3: Cross multiply
    144,519x = 191,763 × 191,763
  4. Step 4: Simplify right side
    144,519x = 36,773,048,169
  5. Step 5: Solve for x
    x = 36,773,048,169/144,519
  6. Step 6: Final answer
    x = 254,451.31

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Why These Related Problems?

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