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Finding the Third Proportional to 139,504 and 202,772

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Solution

The third proportional to 139,504 and 202,772 is: 294,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,504 : 202,772 = 202,772 : x
  2. Step 2: Convert to fraction form
    139,504/202,772 = 202,772/x
  3. Step 3: Cross multiply
    139,504x = 202,772 × 202,772
  4. Step 4: Simplify right side
    139,504x = 41,116,483,984
  5. Step 5: Solve for x
    x = 41,116,483,984/139,504
  6. Step 6: Final answer
    x = 294,733.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.