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Finding the Third Proportional to 77,120 and 166,096

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Solution

The third proportional to 77,120 and 166,096 is: 357,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,120 : 166,096 = 166,096 : x
  2. Step 2: Convert to fraction form
    77,120/166,096 = 166,096/x
  3. Step 3: Cross multiply
    77,120x = 166,096 × 166,096
  4. Step 4: Simplify right side
    77,120x = 27,587,881,216
  5. Step 5: Solve for x
    x = 27,587,881,216/77,120
  6. Step 6: Final answer
    x = 357,726.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.