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Finding the Third Proportional to 121,796 and 265,669

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Solution

The third proportional to 121,796 and 265,669 is: 579,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,796 : 265,669 = 265,669 : x
  2. Step 2: Convert to fraction form
    121,796/265,669 = 265,669/x
  3. Step 3: Cross multiply
    121,796x = 265,669 × 265,669
  4. Step 4: Simplify right side
    121,796x = 70,580,017,561
  5. Step 5: Solve for x
    x = 70,580,017,561/121,796
  6. Step 6: Final answer
    x = 579,493.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.