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Finding the Third Proportional to 30,170 and 66,172

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Solution

The third proportional to 30,170 and 66,172 is: 145,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170 : 66,172 = 66,172 : x
  2. Step 2: Convert to fraction form
    30,170/66,172 = 66,172/x
  3. Step 3: Cross multiply
    30,170x = 66,172 × 66,172
  4. Step 4: Simplify right side
    30,170x = 4,378,733,584
  5. Step 5: Solve for x
    x = 4,378,733,584/30,170
  6. Step 6: Final answer
    x = 145,135.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.