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Finding the Third Proportional to 100,670.50 and 140,818

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Solution

The third proportional to 100,670.50 and 140,818 is: 196,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,670.50 : 140,818 = 140,818 : x
  2. Step 2: Convert to fraction form
    100,670.50/140,818 = 140,818/x
  3. Step 3: Cross multiply
    100,670.50x = 140,818 × 140,818
  4. Step 4: Simplify right side
    100,670.50x = 19,829,709,124
  5. Step 5: Solve for x
    x = 19,829,709,124/100,670.50
  6. Step 6: Final answer
    x = 196,976.36

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