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Finding the Third Proportional to 77,030 and 166,696

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Solution

The third proportional to 77,030 and 166,696 is: 360,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,030 : 166,696 = 166,696 : x
  2. Step 2: Convert to fraction form
    77,030/166,696 = 166,696/x
  3. Step 3: Cross multiply
    77,030x = 166,696 × 166,696
  4. Step 4: Simplify right side
    77,030x = 27,787,556,416
  5. Step 5: Solve for x
    x = 27,787,556,416/77,030
  6. Step 6: Final answer
    x = 360,736.81

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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.