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Finding the Third Proportional to 103,401 and 165,899.25

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Solution

The third proportional to 103,401 and 165,899.25 is: 266,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,401 : 165,899.25 = 165,899.25 : x
  2. Step 2: Convert to fraction form
    103,401/165,899.25 = 165,899.25/x
  3. Step 3: Cross multiply
    103,401x = 165,899.25 × 165,899.25
  4. Step 4: Simplify right side
    103,401x = 27,522,561,150.56
  5. Step 5: Solve for x
    x = 27,522,561,150.56/103,401
  6. Step 6: Final answer
    x = 266,173.07

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.