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Finding the Third Proportional to 55,200 and 118,176

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Solution

The third proportional to 55,200 and 118,176 is: 252,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,200 : 118,176 = 118,176 : x
  2. Step 2: Convert to fraction form
    55,200/118,176 = 118,176/x
  3. Step 3: Cross multiply
    55,200x = 118,176 × 118,176
  4. Step 4: Simplify right side
    55,200x = 13,965,566,976
  5. Step 5: Solve for x
    x = 13,965,566,976/55,200
  6. Step 6: Final answer
    x = 252,999.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.