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Finding the Third Proportional to 138,588 and 193,089

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Solution

The third proportional to 138,588 and 193,089 is: 269,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,588 : 193,089 = 193,089 : x
  2. Step 2: Convert to fraction form
    138,588/193,089 = 193,089/x
  3. Step 3: Cross multiply
    138,588x = 193,089 × 193,089
  4. Step 4: Simplify right side
    138,588x = 37,283,361,921
  5. Step 5: Solve for x
    x = 37,283,361,921/138,588
  6. Step 6: Final answer
    x = 269,023.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.