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Finding the Third Proportional to 78,441.75 and 161,055

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Solution

The third proportional to 78,441.75 and 161,055 is: 330,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,441.75 : 161,055 = 161,055 : x
  2. Step 2: Convert to fraction form
    78,441.75/161,055 = 161,055/x
  3. Step 3: Cross multiply
    78,441.75x = 161,055 × 161,055
  4. Step 4: Simplify right side
    78,441.75x = 25,938,713,025
  5. Step 5: Solve for x
    x = 25,938,713,025/78,441.75
  6. Step 6: Final answer
    x = 330,674.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.