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Finding the Third Proportional to 135,884.25 and 199,145.25

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Solution

The third proportional to 135,884.25 and 199,145.25 is: 291,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,884.25 : 199,145.25 = 199,145.25 : x
  2. Step 2: Convert to fraction form
    135,884.25/199,145.25 = 199,145.25/x
  3. Step 3: Cross multiply
    135,884.25x = 199,145.25 × 199,145.25
  4. Step 4: Simplify right side
    135,884.25x = 39,658,830,597.56
  5. Step 5: Solve for x
    x = 39,658,830,597.56/135,884.25
  6. Step 6: Final answer
    x = 291,857.45

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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.