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Finding the Third Proportional to 43,699.50 and 75,667.50

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Solution

The third proportional to 43,699.50 and 75,667.50 is: 131,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,699.50 : 75,667.50 = 75,667.50 : x
  2. Step 2: Convert to fraction form
    43,699.50/75,667.50 = 75,667.50/x
  3. Step 3: Cross multiply
    43,699.50x = 75,667.50 × 75,667.50
  4. Step 4: Simplify right side
    43,699.50x = 5,725,570,556.25
  5. Step 5: Solve for x
    x = 5,725,570,556.25/43,699.50
  6. Step 6: Final answer
    x = 131,021.42

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.