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Finding the Third Proportional to 121,392 and 248,796

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Solution

The third proportional to 121,392 and 248,796 is: 509,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,392 : 248,796 = 248,796 : x
  2. Step 2: Convert to fraction form
    121,392/248,796 = 248,796/x
  3. Step 3: Cross multiply
    121,392x = 248,796 × 248,796
  4. Step 4: Simplify right side
    121,392x = 61,899,449,616
  5. Step 5: Solve for x
    x = 61,899,449,616/121,392
  6. Step 6: Final answer
    x = 509,913.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.