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Finding the Third Proportional to 134,847.75 and 202,028.25

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Solution

The third proportional to 134,847.75 and 202,028.25 is: 302,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,847.75 : 202,028.25 = 202,028.25 : x
  2. Step 2: Convert to fraction form
    134,847.75/202,028.25 = 202,028.25/x
  3. Step 3: Cross multiply
    134,847.75x = 202,028.25 × 202,028.25
  4. Step 4: Simplify right side
    134,847.75x = 40,815,413,798.06
  5. Step 5: Solve for x
    x = 40,815,413,798.06/134,847.75
  6. Step 6: Final answer
    x = 302,677.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.