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Finding the Third Proportional to 83,122 and 180,175

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Solution

The third proportional to 83,122 and 180,175 is: 390,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,122 : 180,175 = 180,175 : x
  2. Step 2: Convert to fraction form
    83,122/180,175 = 180,175/x
  3. Step 3: Cross multiply
    83,122x = 180,175 × 180,175
  4. Step 4: Simplify right side
    83,122x = 32,463,030,625
  5. Step 5: Solve for x
    x = 32,463,030,625/83,122
  6. Step 6: Final answer
    x = 390,546.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.