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Finding the Third Proportional to 115,234.50 and 172,854.75

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Solution

The third proportional to 115,234.50 and 172,854.75 is: 259,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,234.50 : 172,854.75 = 172,854.75 : x
  2. Step 2: Convert to fraction form
    115,234.50/172,854.75 = 172,854.75/x
  3. Step 3: Cross multiply
    115,234.50x = 172,854.75 × 172,854.75
  4. Step 4: Simplify right side
    115,234.50x = 29,878,764,597.56
  5. Step 5: Solve for x
    x = 29,878,764,597.56/115,234.50
  6. Step 6: Final answer
    x = 259,286.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.