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Finding the Third Proportional to 77,006 and 166,648

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Solution

The third proportional to 77,006 and 166,648 is: 360,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,006 : 166,648 = 166,648 : x
  2. Step 2: Convert to fraction form
    77,006/166,648 = 166,648/x
  3. Step 3: Cross multiply
    77,006x = 166,648 × 166,648
  4. Step 4: Simplify right side
    77,006x = 27,771,555,904
  5. Step 5: Solve for x
    x = 27,771,555,904/77,006
  6. Step 6: Final answer
    x = 360,641.46

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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.