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Finding the Third Proportional to 115,235 and 172,856

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Solution

The third proportional to 115,235 and 172,856 is: 259,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,235 : 172,856 = 172,856 : x
  2. Step 2: Convert to fraction form
    115,235/172,856 = 172,856/x
  3. Step 3: Cross multiply
    115,235x = 172,856 × 172,856
  4. Step 4: Simplify right side
    115,235x = 29,879,196,736
  5. Step 5: Solve for x
    x = 29,879,196,736/115,235
  6. Step 6: Final answer
    x = 259,289.25

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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.