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Finding the Third Proportional to 115,439 and 172,698

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Solution

The third proportional to 115,439 and 172,698 is: 258,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,439 : 172,698 = 172,698 : x
  2. Step 2: Convert to fraction form
    115,439/172,698 = 172,698/x
  3. Step 3: Cross multiply
    115,439x = 172,698 × 172,698
  4. Step 4: Simplify right side
    115,439x = 29,824,599,204
  5. Step 5: Solve for x
    x = 29,824,599,204/115,439
  6. Step 6: Final answer
    x = 258,358.09

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