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Finding the Third Proportional to 77,064 and 166,944

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Solution

The third proportional to 77,064 and 166,944 is: 361,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,064 : 166,944 = 166,944 : x
  2. Step 2: Convert to fraction form
    77,064/166,944 = 166,944/x
  3. Step 3: Cross multiply
    77,064x = 166,944 × 166,944
  4. Step 4: Simplify right side
    77,064x = 27,870,299,136
  5. Step 5: Solve for x
    x = 27,870,299,136/77,064
  6. Step 6: Final answer
    x = 361,651.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.