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Finding the Third Proportional to 122,464 and 173,334

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Solution

The third proportional to 122,464 and 173,334 is: 245,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,464 : 173,334 = 173,334 : x
  2. Step 2: Convert to fraction form
    122,464/173,334 = 173,334/x
  3. Step 3: Cross multiply
    122,464x = 173,334 × 173,334
  4. Step 4: Simplify right side
    122,464x = 30,044,675,556
  5. Step 5: Solve for x
    x = 30,044,675,556/122,464
  6. Step 6: Final answer
    x = 245,334.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.