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Finding the Third Proportional to 93,842 and 138,147

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Solution

The third proportional to 93,842 and 138,147 is: 203,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,842 : 138,147 = 138,147 : x
  2. Step 2: Convert to fraction form
    93,842/138,147 = 138,147/x
  3. Step 3: Cross multiply
    93,842x = 138,147 × 138,147
  4. Step 4: Simplify right side
    93,842x = 19,084,593,609
  5. Step 5: Solve for x
    x = 19,084,593,609/93,842
  6. Step 6: Final answer
    x = 203,369.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.