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Finding the Third Proportional to 62,615 and 139,223

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Solution

The third proportional to 62,615 and 139,223 is: 309,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,615 : 139,223 = 139,223 : x
  2. Step 2: Convert to fraction form
    62,615/139,223 = 139,223/x
  3. Step 3: Cross multiply
    62,615x = 139,223 × 139,223
  4. Step 4: Simplify right side
    62,615x = 19,383,043,729
  5. Step 5: Solve for x
    x = 19,383,043,729/62,615
  6. Step 6: Final answer
    x = 309,559.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.