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Finding the Third Proportional to 57,410.25 and 83,847.25

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Solution

The third proportional to 57,410.25 and 83,847.25 is: 122,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410.25 : 83,847.25 = 83,847.25 : x
  2. Step 2: Convert to fraction form
    57,410.25/83,847.25 = 83,847.25/x
  3. Step 3: Cross multiply
    57,410.25x = 83,847.25 × 83,847.25
  4. Step 4: Simplify right side
    57,410.25x = 7,030,361,332.56
  5. Step 5: Solve for x
    x = 7,030,361,332.56/57,410.25
  6. Step 6: Final answer
    x = 122,458.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.