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Finding the Third Proportional to 164,112 and 246,120

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Solution

The third proportional to 164,112 and 246,120 is: 369,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,112 : 246,120 = 246,120 : x
  2. Step 2: Convert to fraction form
    164,112/246,120 = 246,120/x
  3. Step 3: Cross multiply
    164,112x = 246,120 × 246,120
  4. Step 4: Simplify right side
    164,112x = 60,575,054,400
  5. Step 5: Solve for x
    x = 60,575,054,400/164,112
  6. Step 6: Final answer
    x = 369,108.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.