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Finding the Third Proportional to 102,544 and 213,254

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Solution

The third proportional to 102,544 and 213,254 is: 443,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,544 : 213,254 = 213,254 : x
  2. Step 2: Convert to fraction form
    102,544/213,254 = 213,254/x
  3. Step 3: Cross multiply
    102,544x = 213,254 × 213,254
  4. Step 4: Simplify right side
    102,544x = 45,477,268,516
  5. Step 5: Solve for x
    x = 45,477,268,516/102,544
  6. Step 6: Final answer
    x = 443,490.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.