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Finding the Third Proportional to 70,302 and 165,951

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Solution

The third proportional to 70,302 and 165,951 is: 391,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,302 : 165,951 = 165,951 : x
  2. Step 2: Convert to fraction form
    70,302/165,951 = 165,951/x
  3. Step 3: Cross multiply
    70,302x = 165,951 × 165,951
  4. Step 4: Simplify right side
    70,302x = 27,539,734,401
  5. Step 5: Solve for x
    x = 27,539,734,401/70,302
  6. Step 6: Final answer
    x = 391,734.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.