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Finding the Third Proportional to 93,858 and 140,909

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Solution

The third proportional to 93,858 and 140,909 is: 211,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,858 : 140,909 = 140,909 : x
  2. Step 2: Convert to fraction form
    93,858/140,909 = 140,909/x
  3. Step 3: Cross multiply
    93,858x = 140,909 × 140,909
  4. Step 4: Simplify right side
    93,858x = 19,855,346,281
  5. Step 5: Solve for x
    x = 19,855,346,281/93,858
  6. Step 6: Final answer
    x = 211,546.66

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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.