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Finding the Third Proportional to 104,422 and 157,094

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Solution

The third proportional to 104,422 and 157,094 is: 236,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,422 : 157,094 = 157,094 : x
  2. Step 2: Convert to fraction form
    104,422/157,094 = 157,094/x
  3. Step 3: Cross multiply
    104,422x = 157,094 × 157,094
  4. Step 4: Simplify right side
    104,422x = 24,678,524,836
  5. Step 5: Solve for x
    x = 24,678,524,836/104,422
  6. Step 6: Final answer
    x = 236,334.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.