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Finding the Third Proportional to 77,267 and 165,623.25

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Solution

The third proportional to 77,267 and 165,623.25 is: 355,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,267 : 165,623.25 = 165,623.25 : x
  2. Step 2: Convert to fraction form
    77,267/165,623.25 = 165,623.25/x
  3. Step 3: Cross multiply
    77,267x = 165,623.25 × 165,623.25
  4. Step 4: Simplify right side
    77,267x = 27,431,060,940.56
  5. Step 5: Solve for x
    x = 27,431,060,940.56/77,267
  6. Step 6: Final answer
    x = 355,016.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.