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Finding the Third Proportional to 66,422 and 100,119

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Solution

The third proportional to 66,422 and 100,119 is: 150,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,422 : 100,119 = 100,119 : x
  2. Step 2: Convert to fraction form
    66,422/100,119 = 100,119/x
  3. Step 3: Cross multiply
    66,422x = 100,119 × 100,119
  4. Step 4: Simplify right side
    66,422x = 10,023,814,161
  5. Step 5: Solve for x
    x = 10,023,814,161/66,422
  6. Step 6: Final answer
    x = 150,911.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.