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Finding the Third Proportional to 104,184 and 147,512

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Solution

The third proportional to 104,184 and 147,512 is: 208,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,184 : 147,512 = 147,512 : x
  2. Step 2: Convert to fraction form
    104,184/147,512 = 147,512/x
  3. Step 3: Cross multiply
    104,184x = 147,512 × 147,512
  4. Step 4: Simplify right side
    104,184x = 21,759,790,144
  5. Step 5: Solve for x
    x = 21,759,790,144/104,184
  6. Step 6: Final answer
    x = 208,859.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.