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Finding the Third Proportional to 93,901 and 140,825

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Solution

The third proportional to 93,901 and 140,825 is: 211,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,901 : 140,825 = 140,825 : x
  2. Step 2: Convert to fraction form
    93,901/140,825 = 140,825/x
  3. Step 3: Cross multiply
    93,901x = 140,825 × 140,825
  4. Step 4: Simplify right side
    93,901x = 19,831,680,625
  5. Step 5: Solve for x
    x = 19,831,680,625/93,901
  6. Step 6: Final answer
    x = 211,197.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.