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Finding the Third Proportional to 104,202.56 and 161,451.84

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Solution

The third proportional to 104,202.56 and 161,451.84 is: 250,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,202.56 : 161,451.84 = 161,451.84 : x
  2. Step 2: Convert to fraction form
    104,202.56/161,451.84 = 161,451.84/x
  3. Step 3: Cross multiply
    104,202.56x = 161,451.84 × 161,451.84
  4. Step 4: Simplify right side
    104,202.56x = 26,066,697,850.27
  5. Step 5: Solve for x
    x = 26,066,697,850.27/104,202.56
  6. Step 6: Final answer
    x = 250,154.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.