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Finding the Third Proportional to 80,122 and 116,052

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Solution

The third proportional to 80,122 and 116,052 is: 168,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,122 : 116,052 = 116,052 : x
  2. Step 2: Convert to fraction form
    80,122/116,052 = 116,052/x
  3. Step 3: Cross multiply
    80,122x = 116,052 × 116,052
  4. Step 4: Simplify right side
    80,122x = 13,468,066,704
  5. Step 5: Solve for x
    x = 13,468,066,704/80,122
  6. Step 6: Final answer
    x = 168,094.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.