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Finding the Third Proportional to 63,997 and 84,921

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Solution

The third proportional to 63,997 and 84,921 is: 112,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,997 : 84,921 = 84,921 : x
  2. Step 2: Convert to fraction form
    63,997/84,921 = 84,921/x
  3. Step 3: Cross multiply
    63,997x = 84,921 × 84,921
  4. Step 4: Simplify right side
    63,997x = 7,211,576,241
  5. Step 5: Solve for x
    x = 7,211,576,241/63,997
  6. Step 6: Final answer
    x = 112,686.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.