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Finding the Third Proportional to 121,032 and 265,956

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Solution

The third proportional to 121,032 and 265,956 is: 584,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,032 : 265,956 = 265,956 : x
  2. Step 2: Convert to fraction form
    121,032/265,956 = 265,956/x
  3. Step 3: Cross multiply
    121,032x = 265,956 × 265,956
  4. Step 4: Simplify right side
    121,032x = 70,732,593,936
  5. Step 5: Solve for x
    x = 70,732,593,936/121,032
  6. Step 6: Final answer
    x = 584,412.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.