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Finding the Third Proportional to 55,493.23 and 119,853.58

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Solution

The third proportional to 55,493.23 and 119,853.58 is: 258,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,493.23 : 119,853.58 = 119,853.58 : x
  2. Step 2: Convert to fraction form
    55,493.23/119,853.58 = 119,853.58/x
  3. Step 3: Cross multiply
    55,493.23x = 119,853.58 × 119,853.58
  4. Step 4: Simplify right side
    55,493.23x = 14,364,880,657.54
  5. Step 5: Solve for x
    x = 14,364,880,657.54/55,493.23
  6. Step 6: Final answer
    x = 258,858.27

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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.