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Finding the Third Proportional to 106,182 and 165,726

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Solution

The third proportional to 106,182 and 165,726 is: 258,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,182 : 165,726 = 165,726 : x
  2. Step 2: Convert to fraction form
    106,182/165,726 = 165,726/x
  3. Step 3: Cross multiply
    106,182x = 165,726 × 165,726
  4. Step 4: Simplify right side
    106,182x = 27,465,107,076
  5. Step 5: Solve for x
    x = 27,465,107,076/106,182
  6. Step 6: Final answer
    x = 258,660.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.