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Finding the Third Proportional to 79,837 and 111,005.75

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Solution

The third proportional to 79,837 and 111,005.75 is: 154,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,837 : 111,005.75 = 111,005.75 : x
  2. Step 2: Convert to fraction form
    79,837/111,005.75 = 111,005.75/x
  3. Step 3: Cross multiply
    79,837x = 111,005.75 × 111,005.75
  4. Step 4: Simplify right side
    79,837x = 12,322,276,533.06
  5. Step 5: Solve for x
    x = 12,322,276,533.06/79,837
  6. Step 6: Final answer
    x = 154,342.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.