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Finding the Third Proportional to 77,726 and 167,704

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Solution

The third proportional to 77,726 and 167,704 is: 361,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,726 : 167,704 = 167,704 : x
  2. Step 2: Convert to fraction form
    77,726/167,704 = 167,704/x
  3. Step 3: Cross multiply
    77,726x = 167,704 × 167,704
  4. Step 4: Simplify right side
    77,726x = 28,124,631,616
  5. Step 5: Solve for x
    x = 28,124,631,616/77,726
  6. Step 6: Final answer
    x = 361,843.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.