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Finding the Third Proportional to 103,729 and 211,263

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Solution

The third proportional to 103,729 and 211,263 is: 430,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,729 : 211,263 = 211,263 : x
  2. Step 2: Convert to fraction form
    103,729/211,263 = 211,263/x
  3. Step 3: Cross multiply
    103,729x = 211,263 × 211,263
  4. Step 4: Simplify right side
    103,729x = 44,632,055,169
  5. Step 5: Solve for x
    x = 44,632,055,169/103,729
  6. Step 6: Final answer
    x = 430,275.58

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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.