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Finding the Third Proportional to 120,731 and 183,104

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Solution

The third proportional to 120,731 and 183,104 is: 277,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,731 : 183,104 = 183,104 : x
  2. Step 2: Convert to fraction form
    120,731/183,104 = 183,104/x
  3. Step 3: Cross multiply
    120,731x = 183,104 × 183,104
  4. Step 4: Simplify right side
    120,731x = 33,527,074,816
  5. Step 5: Solve for x
    x = 33,527,074,816/120,731
  6. Step 6: Final answer
    x = 277,700.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.