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Finding the Third Proportional to 143,736.75 and 190,819.13

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Solution

The third proportional to 143,736.75 and 190,819.13 is: 253,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,736.75 : 190,819.13 = 190,819.13 : x
  2. Step 2: Convert to fraction form
    143,736.75/190,819.13 = 190,819.13/x
  3. Step 3: Cross multiply
    143,736.75x = 190,819.13 × 190,819.13
  4. Step 4: Simplify right side
    143,736.75x = 36,411,938,465.77
  5. Step 5: Solve for x
    x = 36,411,938,465.77/143,736.75
  6. Step 6: Final answer
    x = 253,323.79

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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.