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Finding the Third Proportional to 65,558.81 and 140,675.63

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Solution

The third proportional to 65,558.81 and 140,675.63 is: 301,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,558.81 : 140,675.63 = 140,675.63 : x
  2. Step 2: Convert to fraction form
    65,558.81/140,675.63 = 140,675.63/x
  3. Step 3: Cross multiply
    65,558.81x = 140,675.63 × 140,675.63
  4. Step 4: Simplify right side
    65,558.81x = 19,789,631,469.14
  5. Step 5: Solve for x
    x = 19,789,631,469.14/65,558.81
  6. Step 6: Final answer
    x = 301,860.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.