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Finding the Third Proportional to 121,035 and 265,962

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Solution

The third proportional to 121,035 and 265,962 is: 584,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,035 : 265,962 = 265,962 : x
  2. Step 2: Convert to fraction form
    121,035/265,962 = 265,962/x
  3. Step 3: Cross multiply
    121,035x = 265,962 × 265,962
  4. Step 4: Simplify right side
    121,035x = 70,735,785,444
  5. Step 5: Solve for x
    x = 70,735,785,444/121,035
  6. Step 6: Final answer
    x = 584,424.22

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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.