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Finding the Third Proportional to 70,105.50 and 98,369.44

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Solution

The third proportional to 70,105.50 and 98,369.44 is: 138,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.50 : 98,369.44 = 98,369.44 : x
  2. Step 2: Convert to fraction form
    70,105.50/98,369.44 = 98,369.44/x
  3. Step 3: Cross multiply
    70,105.50x = 98,369.44 × 98,369.44
  4. Step 4: Simplify right side
    70,105.50x = 9,676,546,234.07
  5. Step 5: Solve for x
    x = 9,676,546,234.07/70,105.50
  6. Step 6: Final answer
    x = 138,028.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.