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Finding the Third Proportional to 139,606 and 310,172

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Solution

The third proportional to 139,606 and 310,172 is: 689,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,606 : 310,172 = 310,172 : x
  2. Step 2: Convert to fraction form
    139,606/310,172 = 310,172/x
  3. Step 3: Cross multiply
    139,606x = 310,172 × 310,172
  4. Step 4: Simplify right side
    139,606x = 96,206,669,584
  5. Step 5: Solve for x
    x = 96,206,669,584/139,606
  6. Step 6: Final answer
    x = 689,129.91

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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.