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Finding the Third Proportional to 55,505.25 and 119,876.63

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Solution

The third proportional to 55,505.25 and 119,876.63 is: 258,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,505.25 : 119,876.63 = 119,876.63 : x
  2. Step 2: Convert to fraction form
    55,505.25/119,876.63 = 119,876.63/x
  3. Step 3: Cross multiply
    55,505.25x = 119,876.63 × 119,876.63
  4. Step 4: Simplify right side
    55,505.25x = 14,370,405,221.39
  5. Step 5: Solve for x
    x = 14,370,405,221.39/55,505.25
  6. Step 6: Final answer
    x = 258,901.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.