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Finding the Third Proportional to 75,608.44 and 165,052.13

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Solution

The third proportional to 75,608.44 and 165,052.13 is: 360,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,608.44 : 165,052.13 = 165,052.13 : x
  2. Step 2: Convert to fraction form
    75,608.44/165,052.13 = 165,052.13/x
  3. Step 3: Cross multiply
    75,608.44x = 165,052.13 × 165,052.13
  4. Step 4: Simplify right side
    75,608.44x = 27,242,203,967.02
  5. Step 5: Solve for x
    x = 27,242,203,967.02/75,608.44
  6. Step 6: Final answer
    x = 360,306.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.