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Finding the Third Proportional to 135,685.13 and 194,779.69

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Solution

The third proportional to 135,685.13 and 194,779.69 is: 279,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,685.13 : 194,779.69 = 194,779.69 : x
  2. Step 2: Convert to fraction form
    135,685.13/194,779.69 = 194,779.69/x
  3. Step 3: Cross multiply
    135,685.13x = 194,779.69 × 194,779.69
  4. Step 4: Simplify right side
    135,685.13x = 37,939,126,662.60
  5. Step 5: Solve for x
    x = 37,939,126,662.60/135,685.13
  6. Step 6: Final answer
    x = 279,611.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.