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Finding the Third Proportional to 106,209 and 162,999

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Solution

The third proportional to 106,209 and 162,999 is: 250,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,209 : 162,999 = 162,999 : x
  2. Step 2: Convert to fraction form
    106,209/162,999 = 162,999/x
  3. Step 3: Cross multiply
    106,209x = 162,999 × 162,999
  4. Step 4: Simplify right side
    106,209x = 26,568,674,001
  5. Step 5: Solve for x
    x = 26,568,674,001/106,209
  6. Step 6: Final answer
    x = 250,154.64

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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.