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Finding the Third Proportional to 55,114.50 and 85,184.50

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Solution

The third proportional to 55,114.50 and 85,184.50 is: 131,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,114.50 : 85,184.50 = 85,184.50 : x
  2. Step 2: Convert to fraction form
    55,114.50/85,184.50 = 85,184.50/x
  3. Step 3: Cross multiply
    55,114.50x = 85,184.50 × 85,184.50
  4. Step 4: Simplify right side
    55,114.50x = 7,256,399,040.25
  5. Step 5: Solve for x
    x = 7,256,399,040.25/55,114.50
  6. Step 6: Final answer
    x = 131,660.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.