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Finding the Third Proportional to 77,038 and 166,711

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Solution

The third proportional to 77,038 and 166,711 is: 360,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,038 : 166,711 = 166,711 : x
  2. Step 2: Convert to fraction form
    77,038/166,711 = 166,711/x
  3. Step 3: Cross multiply
    77,038x = 166,711 × 166,711
  4. Step 4: Simplify right side
    77,038x = 27,792,557,521
  5. Step 5: Solve for x
    x = 27,792,557,521/77,038
  6. Step 6: Final answer
    x = 360,764.27

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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.