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Finding the Third Proportional to 106,286 and 162,777

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Solution

The third proportional to 106,286 and 162,777 is: 249,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,286 : 162,777 = 162,777 : x
  2. Step 2: Convert to fraction form
    106,286/162,777 = 162,777/x
  3. Step 3: Cross multiply
    106,286x = 162,777 × 162,777
  4. Step 4: Simplify right side
    106,286x = 26,496,351,729
  5. Step 5: Solve for x
    x = 26,496,351,729/106,286
  6. Step 6: Final answer
    x = 249,292.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.