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Finding the Third Proportional to 63,661 and 140,030

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Solution

The third proportional to 63,661 and 140,030 is: 308,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,661 : 140,030 = 140,030 : x
  2. Step 2: Convert to fraction form
    63,661/140,030 = 140,030/x
  3. Step 3: Cross multiply
    63,661x = 140,030 × 140,030
  4. Step 4: Simplify right side
    63,661x = 19,608,400,900
  5. Step 5: Solve for x
    x = 19,608,400,900/63,661
  6. Step 6: Final answer
    x = 308,012.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.