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Finding the Third Proportional to 65,606.20 and 140,540.06

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Solution

The third proportional to 65,606.20 and 140,540.06 is: 301,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,606.20 : 140,540.06 = 140,540.06 : x
  2. Step 2: Convert to fraction form
    65,606.20/140,540.06 = 140,540.06/x
  3. Step 3: Cross multiply
    65,606.20x = 140,540.06 × 140,540.06
  4. Step 4: Simplify right side
    65,606.20x = 19,751,509,167.50
  5. Step 5: Solve for x
    x = 19,751,509,167.50/65,606.20
  6. Step 6: Final answer
    x = 301,061.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.