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Finding the Third Proportional to 106,809 and 143,779.50

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Solution

The third proportional to 106,809 and 143,779.50 is: 193,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,809 : 143,779.50 = 143,779.50 : x
  2. Step 2: Convert to fraction form
    106,809/143,779.50 = 143,779.50/x
  3. Step 3: Cross multiply
    106,809x = 143,779.50 × 143,779.50
  4. Step 4: Simplify right side
    106,809x = 20,672,544,620.25
  5. Step 5: Solve for x
    x = 20,672,544,620.25/106,809
  6. Step 6: Final answer
    x = 193,546.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.