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Finding the Third Proportional to 55,622 and 118,627

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Solution

The third proportional to 55,622 and 118,627 is: 252,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,622 : 118,627 = 118,627 : x
  2. Step 2: Convert to fraction form
    55,622/118,627 = 118,627/x
  3. Step 3: Cross multiply
    55,622x = 118,627 × 118,627
  4. Step 4: Simplify right side
    55,622x = 14,072,365,129
  5. Step 5: Solve for x
    x = 14,072,365,129/55,622
  6. Step 6: Final answer
    x = 252,999.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.