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Finding the Third Proportional to 103,491 and 164,147

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Solution

The third proportional to 103,491 and 164,147 is: 260,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,491 : 164,147 = 164,147 : x
  2. Step 2: Convert to fraction form
    103,491/164,147 = 164,147/x
  3. Step 3: Cross multiply
    103,491x = 164,147 × 164,147
  4. Step 4: Simplify right side
    103,491x = 26,944,237,609
  5. Step 5: Solve for x
    x = 26,944,237,609/103,491
  6. Step 6: Final answer
    x = 260,353.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.