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Finding the Third Proportional to 93,953 and 140,902

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Solution

The third proportional to 93,953 and 140,902 is: 211,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,953 : 140,902 = 140,902 : x
  2. Step 2: Convert to fraction form
    93,953/140,902 = 140,902/x
  3. Step 3: Cross multiply
    93,953x = 140,902 × 140,902
  4. Step 4: Simplify right side
    93,953x = 19,853,373,604
  5. Step 5: Solve for x
    x = 19,853,373,604/93,953
  6. Step 6: Final answer
    x = 211,311.76

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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.