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Finding the Third Proportional to 79,926 and 120,091.50

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Solution

The third proportional to 79,926 and 120,091.50 is: 180,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,926 : 120,091.50 = 120,091.50 : x
  2. Step 2: Convert to fraction form
    79,926/120,091.50 = 120,091.50/x
  3. Step 3: Cross multiply
    79,926x = 120,091.50 × 120,091.50
  4. Step 4: Simplify right side
    79,926x = 14,421,968,372.25
  5. Step 5: Solve for x
    x = 14,421,968,372.25/79,926
  6. Step 6: Final answer
    x = 180,441.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.