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Finding the Third Proportional to 120,226 and 173,175

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Solution

The third proportional to 120,226 and 173,175 is: 249,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,226 : 173,175 = 173,175 : x
  2. Step 2: Convert to fraction form
    120,226/173,175 = 173,175/x
  3. Step 3: Cross multiply
    120,226x = 173,175 × 173,175
  4. Step 4: Simplify right side
    120,226x = 29,989,580,625
  5. Step 5: Solve for x
    x = 29,989,580,625/120,226
  6. Step 6: Final answer
    x = 249,443.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.