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Finding the Third Proportional to 126,289 and 195,063

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Solution

The third proportional to 126,289 and 195,063 is: 301,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,289 : 195,063 = 195,063 : x
  2. Step 2: Convert to fraction form
    126,289/195,063 = 195,063/x
  3. Step 3: Cross multiply
    126,289x = 195,063 × 195,063
  4. Step 4: Simplify right side
    126,289x = 38,049,573,969
  5. Step 5: Solve for x
    x = 38,049,573,969/126,289
  6. Step 6: Final answer
    x = 301,289.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.