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Finding the Third Proportional to 106,828 and 166,072

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Solution

The third proportional to 106,828 and 166,072 is: 258,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,828 : 166,072 = 166,072 : x
  2. Step 2: Convert to fraction form
    106,828/166,072 = 166,072/x
  3. Step 3: Cross multiply
    106,828x = 166,072 × 166,072
  4. Step 4: Simplify right side
    106,828x = 27,579,909,184
  5. Step 5: Solve for x
    x = 27,579,909,184/106,828
  6. Step 6: Final answer
    x = 258,171.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.