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Finding the Third Proportional to 135,707.06 and 199,505.25

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Solution

The third proportional to 135,707.06 and 199,505.25 is: 293,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,707.06 : 199,505.25 = 199,505.25 : x
  2. Step 2: Convert to fraction form
    135,707.06/199,505.25 = 199,505.25/x
  3. Step 3: Cross multiply
    135,707.06x = 199,505.25 × 199,505.25
  4. Step 4: Simplify right side
    135,707.06x = 39,802,344,777.56
  5. Step 5: Solve for x
    x = 39,802,344,777.56/135,707.06
  6. Step 6: Final answer
    x = 293,296.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.