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Finding the Third Proportional to 121,059.56 and 265,999.57

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Solution

The third proportional to 121,059.56 and 265,999.57 is: 584,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,059.56 : 265,999.57 = 265,999.57 : x
  2. Step 2: Convert to fraction form
    121,059.56/265,999.57 = 265,999.57/x
  3. Step 3: Cross multiply
    121,059.56x = 265,999.57 × 265,999.57
  4. Step 4: Simplify right side
    121,059.56x = 70,755,771,406.43
  5. Step 5: Solve for x
    x = 70,755,771,406.43/121,059.56
  6. Step 6: Final answer
    x = 584,470.73

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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.