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Finding the Third Proportional to 104,812 and 162,420

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Solution

The third proportional to 104,812 and 162,420 is: 251,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,812 : 162,420 = 162,420 : x
  2. Step 2: Convert to fraction form
    104,812/162,420 = 162,420/x
  3. Step 3: Cross multiply
    104,812x = 162,420 × 162,420
  4. Step 4: Simplify right side
    104,812x = 26,380,256,400
  5. Step 5: Solve for x
    x = 26,380,256,400/104,812
  6. Step 6: Final answer
    x = 251,691.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.