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Finding the Third Proportional to 63,563 and 86,229

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Solution

The third proportional to 63,563 and 86,229 is: 116,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,563 : 86,229 = 86,229 : x
  2. Step 2: Convert to fraction form
    63,563/86,229 = 86,229/x
  3. Step 3: Cross multiply
    63,563x = 86,229 × 86,229
  4. Step 4: Simplify right side
    63,563x = 7,435,440,441
  5. Step 5: Solve for x
    x = 7,435,440,441/63,563
  6. Step 6: Final answer
    x = 116,977.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.