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Finding the Third Proportional to 115,211 and 154,834

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Solution

The third proportional to 115,211 and 154,834 is: 208,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,211 : 154,834 = 154,834 : x
  2. Step 2: Convert to fraction form
    115,211/154,834 = 154,834/x
  3. Step 3: Cross multiply
    115,211x = 154,834 × 154,834
  4. Step 4: Simplify right side
    115,211x = 23,973,567,556
  5. Step 5: Solve for x
    x = 23,973,567,556/115,211
  6. Step 6: Final answer
    x = 208,084.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.