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Finding the Third Proportional to 62,326 and 136,072

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Solution

The third proportional to 62,326 and 136,072 is: 297,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,326 : 136,072 = 136,072 : x
  2. Step 2: Convert to fraction form
    62,326/136,072 = 136,072/x
  3. Step 3: Cross multiply
    62,326x = 136,072 × 136,072
  4. Step 4: Simplify right side
    62,326x = 18,515,589,184
  5. Step 5: Solve for x
    x = 18,515,589,184/62,326
  6. Step 6: Final answer
    x = 297,076.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.