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Finding the Third Proportional to 114,797.25 and 172,633.78

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Solution

The third proportional to 114,797.25 and 172,633.78 is: 259,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,797.25 : 172,633.78 = 172,633.78 : x
  2. Step 2: Convert to fraction form
    114,797.25/172,633.78 = 172,633.78/x
  3. Step 3: Cross multiply
    114,797.25x = 172,633.78 × 172,633.78
  4. Step 4: Simplify right side
    114,797.25x = 29,802,422,428.67
  5. Step 5: Solve for x
    x = 29,802,422,428.67/114,797.25
  6. Step 6: Final answer
    x = 259,609.20

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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.