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Finding the Third Proportional to 120,060 and 193,392

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Solution

The third proportional to 120,060 and 193,392 is: 311,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,060 : 193,392 = 193,392 : x
  2. Step 2: Convert to fraction form
    120,060/193,392 = 193,392/x
  3. Step 3: Cross multiply
    120,060x = 193,392 × 193,392
  4. Step 4: Simplify right side
    120,060x = 37,400,465,664
  5. Step 5: Solve for x
    x = 37,400,465,664/120,060
  6. Step 6: Final answer
    x = 311,514.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.