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Finding the Third Proportional to 126,783 and 170,760

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Solution

The third proportional to 126,783 and 170,760 is: 229,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,783 : 170,760 = 170,760 : x
  2. Step 2: Convert to fraction form
    126,783/170,760 = 170,760/x
  3. Step 3: Cross multiply
    126,783x = 170,760 × 170,760
  4. Step 4: Simplify right side
    126,783x = 29,158,977,600
  5. Step 5: Solve for x
    x = 29,158,977,600/126,783
  6. Step 6: Final answer
    x = 229,991.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.