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Finding the Third Proportional to 80,043 and 173,658

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Solution

The third proportional to 80,043 and 173,658 is: 376,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,043 : 173,658 = 173,658 : x
  2. Step 2: Convert to fraction form
    80,043/173,658 = 173,658/x
  3. Step 3: Cross multiply
    80,043x = 173,658 × 173,658
  4. Step 4: Simplify right side
    80,043x = 30,157,100,964
  5. Step 5: Solve for x
    x = 30,157,100,964/80,043
  6. Step 6: Final answer
    x = 376,761.25

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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.