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Finding the Third Proportional to 84,832 and 127,196

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Solution

The third proportional to 84,832 and 127,196 is: 190,716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,832 : 127,196 = 127,196 : x
  2. Step 2: Convert to fraction form
    84,832/127,196 = 127,196/x
  3. Step 3: Cross multiply
    84,832x = 127,196 × 127,196
  4. Step 4: Simplify right side
    84,832x = 16,178,822,416
  5. Step 5: Solve for x
    x = 16,178,822,416/84,832
  6. Step 6: Final answer
    x = 190,716.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.