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Finding the Third Proportional to 75,082 and 160,196

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Solution

The third proportional to 75,082 and 160,196 is: 341,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082 : 160,196 = 160,196 : x
  2. Step 2: Convert to fraction form
    75,082/160,196 = 160,196/x
  3. Step 3: Cross multiply
    75,082x = 160,196 × 160,196
  4. Step 4: Simplify right side
    75,082x = 25,662,758,416
  5. Step 5: Solve for x
    x = 25,662,758,416/75,082
  6. Step 6: Final answer
    x = 341,796.41

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