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Finding the Third Proportional to 135,648.42 and 199,552.36

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Solution

The third proportional to 135,648.42 and 199,552.36 is: 293,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648.42 : 199,552.36 = 199,552.36 : x
  2. Step 2: Convert to fraction form
    135,648.42/199,552.36 = 199,552.36/x
  3. Step 3: Cross multiply
    135,648.42x = 199,552.36 × 199,552.36
  4. Step 4: Simplify right side
    135,648.42x = 39,821,144,132.13
  5. Step 5: Solve for x
    x = 39,821,144,132.13/135,648.42
  6. Step 6: Final answer
    x = 293,561.43

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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.