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Finding the Third Proportional to 63,828 and 106,009

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Solution

The third proportional to 63,828 and 106,009 is: 176,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,828 : 106,009 = 106,009 : x
  2. Step 2: Convert to fraction form
    63,828/106,009 = 106,009/x
  3. Step 3: Cross multiply
    63,828x = 106,009 × 106,009
  4. Step 4: Simplify right side
    63,828x = 11,237,908,081
  5. Step 5: Solve for x
    x = 11,237,908,081/63,828
  6. Step 6: Final answer
    x = 176,065.49

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.