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Finding the Third Proportional to 75,219 and 160,185

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Solution

The third proportional to 75,219 and 160,185 is: 341,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,219 : 160,185 = 160,185 : x
  2. Step 2: Convert to fraction form
    75,219/160,185 = 160,185/x
  3. Step 3: Cross multiply
    75,219x = 160,185 × 160,185
  4. Step 4: Simplify right side
    75,219x = 25,659,234,225
  5. Step 5: Solve for x
    x = 25,659,234,225/75,219
  6. Step 6: Final answer
    x = 341,127.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.