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Finding the Third Proportional to 93,530 and 139,926

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Solution

The third proportional to 93,530 and 139,926 is: 209,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,530 : 139,926 = 139,926 : x
  2. Step 2: Convert to fraction form
    93,530/139,926 = 139,926/x
  3. Step 3: Cross multiply
    93,530x = 139,926 × 139,926
  4. Step 4: Simplify right side
    93,530x = 19,579,285,476
  5. Step 5: Solve for x
    x = 19,579,285,476/93,530
  6. Step 6: Final answer
    x = 209,336.96

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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.