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Finding the Third Proportional to 65,119.50 and 132,050.25

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Solution

The third proportional to 65,119.50 and 132,050.25 is: 267,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,119.50 : 132,050.25 = 132,050.25 : x
  2. Step 2: Convert to fraction form
    65,119.50/132,050.25 = 132,050.25/x
  3. Step 3: Cross multiply
    65,119.50x = 132,050.25 × 132,050.25
  4. Step 4: Simplify right side
    65,119.50x = 17,437,268,525.06
  5. Step 5: Solve for x
    x = 17,437,268,525.06/65,119.50
  6. Step 6: Final answer
    x = 267,773.38

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.