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Finding the Third Proportional to 75,724 and 165,200

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Solution

The third proportional to 75,724 and 165,200 is: 360,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,724 : 165,200 = 165,200 : x
  2. Step 2: Convert to fraction form
    75,724/165,200 = 165,200/x
  3. Step 3: Cross multiply
    75,724x = 165,200 × 165,200
  4. Step 4: Simplify right side
    75,724x = 27,291,040,000
  5. Step 5: Solve for x
    x = 27,291,040,000/75,724
  6. Step 6: Final answer
    x = 360,401.46

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Why These Related Problems?

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