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Finding the Third Proportional to 77,818 and 166,004

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Solution

The third proportional to 77,818 and 166,004 is: 354,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,818 : 166,004 = 166,004 : x
  2. Step 2: Convert to fraction form
    77,818/166,004 = 166,004/x
  3. Step 3: Cross multiply
    77,818x = 166,004 × 166,004
  4. Step 4: Simplify right side
    77,818x = 27,557,328,016
  5. Step 5: Solve for x
    x = 27,557,328,016/77,818
  6. Step 6: Final answer
    x = 354,125.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.