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Finding the Third Proportional to 55,591 and 121,563

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Solution

The third proportional to 55,591 and 121,563 is: 265,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,591 : 121,563 = 121,563 : x
  2. Step 2: Convert to fraction form
    55,591/121,563 = 121,563/x
  3. Step 3: Cross multiply
    55,591x = 121,563 × 121,563
  4. Step 4: Simplify right side
    55,591x = 14,777,562,969
  5. Step 5: Solve for x
    x = 14,777,562,969/55,591
  6. Step 6: Final answer
    x = 265,826.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.