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Finding the Third Proportional to 42,168.09 and 65,268.28

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Solution

The third proportional to 42,168.09 and 65,268.28 is: 101,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,168.09 : 65,268.28 = 65,268.28 : x
  2. Step 2: Convert to fraction form
    42,168.09/65,268.28 = 65,268.28/x
  3. Step 3: Cross multiply
    42,168.09x = 65,268.28 × 65,268.28
  4. Step 4: Simplify right side
    42,168.09x = 4,259,948,537.33
  5. Step 5: Solve for x
    x = 4,259,948,537.33/42,168.09
  6. Step 6: Final answer
    x = 101,023.03

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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.