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Finding the Third Proportional to 55,634.50 and 85,395.75

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Solution

The third proportional to 55,634.50 and 85,395.75 is: 131,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,634.50 : 85,395.75 = 85,395.75 : x
  2. Step 2: Convert to fraction form
    55,634.50/85,395.75 = 85,395.75/x
  3. Step 3: Cross multiply
    55,634.50x = 85,395.75 × 85,395.75
  4. Step 4: Simplify right side
    55,634.50x = 7,292,434,118.06
  5. Step 5: Solve for x
    x = 7,292,434,118.06/55,634.50
  6. Step 6: Final answer
    x = 131,077.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.