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Finding the Third Proportional to 62,844 and 131,886

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Solution

The third proportional to 62,844 and 131,886 is: 276,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,844 : 131,886 = 131,886 : x
  2. Step 2: Convert to fraction form
    62,844/131,886 = 131,886/x
  3. Step 3: Cross multiply
    62,844x = 131,886 × 131,886
  4. Step 4: Simplify right side
    62,844x = 17,393,916,996
  5. Step 5: Solve for x
    x = 17,393,916,996/62,844
  6. Step 6: Final answer
    x = 276,779.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.