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Finding the Third Proportional to 103,500 and 210,917

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Solution

The third proportional to 103,500 and 210,917 is: 429,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,500 : 210,917 = 210,917 : x
  2. Step 2: Convert to fraction form
    103,500/210,917 = 210,917/x
  3. Step 3: Cross multiply
    103,500x = 210,917 × 210,917
  4. Step 4: Simplify right side
    103,500x = 44,485,980,889
  5. Step 5: Solve for x
    x = 44,485,980,889/103,500
  6. Step 6: Final answer
    x = 429,816.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.