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Finding the Third Proportional to 126,778.50 and 170,754.75

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Solution

The third proportional to 126,778.50 and 170,754.75 is: 229,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,778.50 : 170,754.75 = 170,754.75 : x
  2. Step 2: Convert to fraction form
    126,778.50/170,754.75 = 170,754.75/x
  3. Step 3: Cross multiply
    126,778.50x = 170,754.75 × 170,754.75
  4. Step 4: Simplify right side
    126,778.50x = 29,157,184,647.56
  5. Step 5: Solve for x
    x = 29,157,184,647.56/126,778.50
  6. Step 6: Final answer
    x = 229,985.25

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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.