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Finding the Third Proportional to 44,067 and 93,157

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Solution

The third proportional to 44,067 and 93,157 is: 196,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,067 : 93,157 = 93,157 : x
  2. Step 2: Convert to fraction form
    44,067/93,157 = 93,157/x
  3. Step 3: Cross multiply
    44,067x = 93,157 × 93,157
  4. Step 4: Simplify right side
    44,067x = 8,678,226,649
  5. Step 5: Solve for x
    x = 8,678,226,649/44,067
  6. Step 6: Final answer
    x = 196,932.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.