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Finding the Third Proportional to 144,471.09 and 191,748.52

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Solution

The third proportional to 144,471.09 and 191,748.52 is: 254,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,471.09 : 191,748.52 = 191,748.52 : x
  2. Step 2: Convert to fraction form
    144,471.09/191,748.52 = 191,748.52/x
  3. Step 3: Cross multiply
    144,471.09x = 191,748.52 × 191,748.52
  4. Step 4: Simplify right side
    144,471.09x = 36,767,493,244.39
  5. Step 5: Solve for x
    x = 36,767,493,244.39/144,471.09
  6. Step 6: Final answer
    x = 254,497.23

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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.