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Finding the Third Proportional to 93,568 and 135,438

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Solution

The third proportional to 93,568 and 135,438 is: 196,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,568 : 135,438 = 135,438 : x
  2. Step 2: Convert to fraction form
    93,568/135,438 = 135,438/x
  3. Step 3: Cross multiply
    93,568x = 135,438 × 135,438
  4. Step 4: Simplify right side
    93,568x = 18,343,451,844
  5. Step 5: Solve for x
    x = 18,343,451,844/93,568
  6. Step 6: Final answer
    x = 196,044.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.