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Finding the Third Proportional to 75,824 and 165,094

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Solution

The third proportional to 75,824 and 165,094 is: 359,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,824 : 165,094 = 165,094 : x
  2. Step 2: Convert to fraction form
    75,824/165,094 = 165,094/x
  3. Step 3: Cross multiply
    75,824x = 165,094 × 165,094
  4. Step 4: Simplify right side
    75,824x = 27,256,028,836
  5. Step 5: Solve for x
    x = 27,256,028,836/75,824
  6. Step 6: Final answer
    x = 359,464.40

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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.