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Finding the Third Proportional to 80,184 and 173,202

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Solution

The third proportional to 80,184 and 173,202 is: 374,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,184 : 173,202 = 173,202 : x
  2. Step 2: Convert to fraction form
    80,184/173,202 = 173,202/x
  3. Step 3: Cross multiply
    80,184x = 173,202 × 173,202
  4. Step 4: Simplify right side
    80,184x = 29,998,932,804
  5. Step 5: Solve for x
    x = 29,998,932,804/80,184
  6. Step 6: Final answer
    x = 374,126.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.