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Finding the Third Proportional to 80,896 and 122,476

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Solution

The third proportional to 80,896 and 122,476 is: 185,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,896 : 122,476 = 122,476 : x
  2. Step 2: Convert to fraction form
    80,896/122,476 = 122,476/x
  3. Step 3: Cross multiply
    80,896x = 122,476 × 122,476
  4. Step 4: Simplify right side
    80,896x = 15,000,370,576
  5. Step 5: Solve for x
    x = 15,000,370,576/80,896
  6. Step 6: Final answer
    x = 185,427.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.