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Finding the Third Proportional to 77,052 and 166,512

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Solution

The third proportional to 77,052 and 166,512 is: 359,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052 : 166,512 = 166,512 : x
  2. Step 2: Convert to fraction form
    77,052/166,512 = 166,512/x
  3. Step 3: Cross multiply
    77,052x = 166,512 × 166,512
  4. Step 4: Simplify right side
    77,052x = 27,726,246,144
  5. Step 5: Solve for x
    x = 27,726,246,144/77,052
  6. Step 6: Final answer
    x = 359,838.11

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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.