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Finding the Third Proportional to 75,087 and 163,242

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Solution

The third proportional to 75,087 and 163,242 is: 354,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,087 : 163,242 = 163,242 : x
  2. Step 2: Convert to fraction form
    75,087/163,242 = 163,242/x
  3. Step 3: Cross multiply
    75,087x = 163,242 × 163,242
  4. Step 4: Simplify right side
    75,087x = 26,647,950,564
  5. Step 5: Solve for x
    x = 26,647,950,564/75,087
  6. Step 6: Final answer
    x = 354,894.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.