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Finding the Third Proportional to 75,173 and 165,226

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Solution

The third proportional to 75,173 and 165,226 is: 363,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,173 : 165,226 = 165,226 : x
  2. Step 2: Convert to fraction form
    75,173/165,226 = 165,226/x
  3. Step 3: Cross multiply
    75,173x = 165,226 × 165,226
  4. Step 4: Simplify right side
    75,173x = 27,299,631,076
  5. Step 5: Solve for x
    x = 27,299,631,076/75,173
  6. Step 6: Final answer
    x = 363,157.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.