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Finding the Third Proportional to 63,206 and 84,813

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Solution

The third proportional to 63,206 and 84,813 is: 113,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,206 : 84,813 = 84,813 : x
  2. Step 2: Convert to fraction form
    63,206/84,813 = 84,813/x
  3. Step 3: Cross multiply
    63,206x = 84,813 × 84,813
  4. Step 4: Simplify right side
    63,206x = 7,193,244,969
  5. Step 5: Solve for x
    x = 7,193,244,969/63,206
  6. Step 6: Final answer
    x = 113,806.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.