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Finding the Third Proportional to 104,626 and 157,173

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Solution

The third proportional to 104,626 and 157,173 is: 236,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,626 : 157,173 = 157,173 : x
  2. Step 2: Convert to fraction form
    104,626/157,173 = 157,173/x
  3. Step 3: Cross multiply
    104,626x = 157,173 × 157,173
  4. Step 4: Simplify right side
    104,626x = 24,703,351,929
  5. Step 5: Solve for x
    x = 24,703,351,929/104,626
  6. Step 6: Final answer
    x = 236,111.02

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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.