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Finding the Third Proportional to 41,019 and 97,039

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Solution

The third proportional to 41,019 and 97,039 is: 229,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,019 : 97,039 = 97,039 : x
  2. Step 2: Convert to fraction form
    41,019/97,039 = 97,039/x
  3. Step 3: Cross multiply
    41,019x = 97,039 × 97,039
  4. Step 4: Simplify right side
    41,019x = 9,416,567,521
  5. Step 5: Solve for x
    x = 9,416,567,521/41,019
  6. Step 6: Final answer
    x = 229,565.99

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.