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Finding the Third Proportional to 107,779.50 and 144,991.50

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Solution

The third proportional to 107,779.50 and 144,991.50 is: 195,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,779.50 : 144,991.50 = 144,991.50 : x
  2. Step 2: Convert to fraction form
    107,779.50/144,991.50 = 144,991.50/x
  3. Step 3: Cross multiply
    107,779.50x = 144,991.50 × 144,991.50
  4. Step 4: Simplify right side
    107,779.50x = 21,022,535,072.25
  5. Step 5: Solve for x
    x = 21,022,535,072.25/107,779.50
  6. Step 6: Final answer
    x = 195,051.33

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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.