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Finding the Third Proportional to 93,856 and 140,906

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Solution

The third proportional to 93,856 and 140,906 is: 211,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,856 : 140,906 = 140,906 : x
  2. Step 2: Convert to fraction form
    93,856/140,906 = 140,906/x
  3. Step 3: Cross multiply
    93,856x = 140,906 × 140,906
  4. Step 4: Simplify right side
    93,856x = 19,854,500,836
  5. Step 5: Solve for x
    x = 19,854,500,836/93,856
  6. Step 6: Final answer
    x = 211,542.16

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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.