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Finding the Third Proportional to 41,734 and 98,420

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Solution

The third proportional to 41,734 and 98,420 is: 232,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,734 : 98,420 = 98,420 : x
  2. Step 2: Convert to fraction form
    41,734/98,420 = 98,420/x
  3. Step 3: Cross multiply
    41,734x = 98,420 × 98,420
  4. Step 4: Simplify right side
    41,734x = 9,686,496,400
  5. Step 5: Solve for x
    x = 9,686,496,400/41,734
  6. Step 6: Final answer
    x = 232,100.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.