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Finding the Third Proportional to 121,081 and 263,960

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Solution

The third proportional to 121,081 and 263,960 is: 575,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,081 : 263,960 = 263,960 : x
  2. Step 2: Convert to fraction form
    121,081/263,960 = 263,960/x
  3. Step 3: Cross multiply
    121,081x = 263,960 × 263,960
  4. Step 4: Simplify right side
    121,081x = 69,674,881,600
  5. Step 5: Solve for x
    x = 69,674,881,600/121,081
  6. Step 6: Final answer
    x = 575,440.26

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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.