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Finding the Third Proportional to 106,829 and 166,071

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Solution

The third proportional to 106,829 and 166,071 is: 258,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,829 : 166,071 = 166,071 : x
  2. Step 2: Convert to fraction form
    106,829/166,071 = 166,071/x
  3. Step 3: Cross multiply
    106,829x = 166,071 × 166,071
  4. Step 4: Simplify right side
    106,829x = 27,579,577,041
  5. Step 5: Solve for x
    x = 27,579,577,041/106,829
  6. Step 6: Final answer
    x = 258,165.64

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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.