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Finding the Third Proportional to 121,094 and 263,986

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Solution

The third proportional to 121,094 and 263,986 is: 575,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,094 : 263,986 = 263,986 : x
  2. Step 2: Convert to fraction form
    121,094/263,986 = 263,986/x
  3. Step 3: Cross multiply
    121,094x = 263,986 × 263,986
  4. Step 4: Simplify right side
    121,094x = 69,688,608,196
  5. Step 5: Solve for x
    x = 69,688,608,196/121,094
  6. Step 6: Final answer
    x = 575,491.83

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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.