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Finding the Third Proportional to 63,826 and 138,843

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Solution

The third proportional to 63,826 and 138,843 is: 302,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,826 : 138,843 = 138,843 : x
  2. Step 2: Convert to fraction form
    63,826/138,843 = 138,843/x
  3. Step 3: Cross multiply
    63,826x = 138,843 × 138,843
  4. Step 4: Simplify right side
    63,826x = 19,277,378,649
  5. Step 5: Solve for x
    x = 19,277,378,649/63,826
  6. Step 6: Final answer
    x = 302,030.19

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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.