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Finding the Third Proportional to 30,208 and 63,170

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Solution

The third proportional to 30,208 and 63,170 is: 132,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208 : 63,170 = 63,170 : x
  2. Step 2: Convert to fraction form
    30,208/63,170 = 63,170/x
  3. Step 3: Cross multiply
    30,208x = 63,170 × 63,170
  4. Step 4: Simplify right side
    30,208x = 3,990,448,900
  5. Step 5: Solve for x
    x = 3,990,448,900/30,208
  6. Step 6: Final answer
    x = 132,099.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.