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Finding the Third Proportional to 51,544 and 112,929

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Solution

The third proportional to 51,544 and 112,929 is: 247,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,544 : 112,929 = 112,929 : x
  2. Step 2: Convert to fraction form
    51,544/112,929 = 112,929/x
  3. Step 3: Cross multiply
    51,544x = 112,929 × 112,929
  4. Step 4: Simplify right side
    51,544x = 12,752,959,041
  5. Step 5: Solve for x
    x = 12,752,959,041/51,544
  6. Step 6: Final answer
    x = 247,418.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.