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Finding the Third Proportional to 55,558 and 113,180

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Solution

The third proportional to 55,558 and 113,180 is: 230,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,558 : 113,180 = 113,180 : x
  2. Step 2: Convert to fraction form
    55,558/113,180 = 113,180/x
  3. Step 3: Cross multiply
    55,558x = 113,180 × 113,180
  4. Step 4: Simplify right side
    55,558x = 12,809,712,400
  5. Step 5: Solve for x
    x = 12,809,712,400/55,558
  6. Step 6: Final answer
    x = 230,564.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.