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Finding the Third Proportional to 77,738 and 167,764

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Solution

The third proportional to 77,738 and 167,764 is: 362,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,738 : 167,764 = 167,764 : x
  2. Step 2: Convert to fraction form
    77,738/167,764 = 167,764/x
  3. Step 3: Cross multiply
    77,738x = 167,764 × 167,764
  4. Step 4: Simplify right side
    77,738x = 28,144,759,696
  5. Step 5: Solve for x
    x = 28,144,759,696/77,738
  6. Step 6: Final answer
    x = 362,046.36

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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.