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Finding the Third Proportional to 104,735 and 194,161

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Solution

The third proportional to 104,735 and 194,161 is: 359,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,735 : 194,161 = 194,161 : x
  2. Step 2: Convert to fraction form
    104,735/194,161 = 194,161/x
  3. Step 3: Cross multiply
    104,735x = 194,161 × 194,161
  4. Step 4: Simplify right side
    104,735x = 37,698,493,921
  5. Step 5: Solve for x
    x = 37,698,493,921/104,735
  6. Step 6: Final answer
    x = 359,941.70

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.