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Finding the Third Proportional to 97,992.12 and 137,998.85

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Solution

The third proportional to 97,992.12 and 137,998.85 is: 194,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,992.12 : 137,998.85 = 137,998.85 : x
  2. Step 2: Convert to fraction form
    97,992.12/137,998.85 = 137,998.85/x
  3. Step 3: Cross multiply
    97,992.12x = 137,998.85 × 137,998.85
  4. Step 4: Simplify right side
    97,992.12x = 19,043,681,415.39
  5. Step 5: Solve for x
    x = 19,043,681,415.39/97,992.12
  6. Step 6: Final answer
    x = 194,338.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.