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Finding the Third Proportional to 135,657 and 199,425.38

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Solution

The third proportional to 135,657 and 199,425.38 is: 293,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,657 : 199,425.38 = 199,425.38 : x
  2. Step 2: Convert to fraction form
    135,657/199,425.38 = 199,425.38/x
  3. Step 3: Cross multiply
    135,657x = 199,425.38 × 199,425.38
  4. Step 4: Simplify right side
    135,657x = 39,770,480,193.89
  5. Step 5: Solve for x
    x = 39,770,480,193.89/135,657
  6. Step 6: Final answer
    x = 293,169.39

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