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Finding the Third Proportional to 115,468 and 172,734

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Solution

The third proportional to 115,468 and 172,734 is: 258,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,468 : 172,734 = 172,734 : x
  2. Step 2: Convert to fraction form
    115,468/172,734 = 172,734/x
  3. Step 3: Cross multiply
    115,468x = 172,734 × 172,734
  4. Step 4: Simplify right side
    115,468x = 29,837,034,756
  5. Step 5: Solve for x
    x = 29,837,034,756/115,468
  6. Step 6: Final answer
    x = 258,400.90

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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.