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Finding the Third Proportional to 93,469 and 140,322

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Solution

The third proportional to 93,469 and 140,322 is: 210,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,469 : 140,322 = 140,322 : x
  2. Step 2: Convert to fraction form
    93,469/140,322 = 140,322/x
  3. Step 3: Cross multiply
    93,469x = 140,322 × 140,322
  4. Step 4: Simplify right side
    93,469x = 19,690,263,684
  5. Step 5: Solve for x
    x = 19,690,263,684/93,469
  6. Step 6: Final answer
    x = 210,660.90

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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.