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Finding the Third Proportional to 55,241.50 and 86,415.50

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Solution

The third proportional to 55,241.50 and 86,415.50 is: 135,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,241.50 : 86,415.50 = 86,415.50 : x
  2. Step 2: Convert to fraction form
    55,241.50/86,415.50 = 86,415.50/x
  3. Step 3: Cross multiply
    55,241.50x = 86,415.50 × 86,415.50
  4. Step 4: Simplify right side
    55,241.50x = 7,467,638,640.25
  5. Step 5: Solve for x
    x = 7,467,638,640.25/55,241.50
  6. Step 6: Final answer
    x = 135,181.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.