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Finding the Third Proportional to 71,102 and 164,603

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Solution

The third proportional to 71,102 and 164,603 is: 381,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,102 : 164,603 = 164,603 : x
  2. Step 2: Convert to fraction form
    71,102/164,603 = 164,603/x
  3. Step 3: Cross multiply
    71,102x = 164,603 × 164,603
  4. Step 4: Simplify right side
    71,102x = 27,094,147,609
  5. Step 5: Solve for x
    x = 27,094,147,609/71,102
  6. Step 6: Final answer
    x = 381,060.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.