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Finding the Third Proportional to 75,084 and 161,760

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Solution

The third proportional to 75,084 and 161,760 is: 348,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,084 : 161,760 = 161,760 : x
  2. Step 2: Convert to fraction form
    75,084/161,760 = 161,760/x
  3. Step 3: Cross multiply
    75,084x = 161,760 × 161,760
  4. Step 4: Simplify right side
    75,084x = 26,166,297,600
  5. Step 5: Solve for x
    x = 26,166,297,600/75,084
  6. Step 6: Final answer
    x = 348,493.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.