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Finding the Third Proportional to 89,951.50 and 172,856

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Solution

The third proportional to 89,951.50 and 172,856 is: 332,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,951.50 : 172,856 = 172,856 : x
  2. Step 2: Convert to fraction form
    89,951.50/172,856 = 172,856/x
  3. Step 3: Cross multiply
    89,951.50x = 172,856 × 172,856
  4. Step 4: Simplify right side
    89,951.50x = 29,879,196,736
  5. Step 5: Solve for x
    x = 29,879,196,736/89,951.50
  6. Step 6: Final answer
    x = 332,170.08

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.