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Finding the Third Proportional to 117,603 and 254,069

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Solution

The third proportional to 117,603 and 254,069 is: 548,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,603 : 254,069 = 254,069 : x
  2. Step 2: Convert to fraction form
    117,603/254,069 = 254,069/x
  3. Step 3: Cross multiply
    117,603x = 254,069 × 254,069
  4. Step 4: Simplify right side
    117,603x = 64,551,056,761
  5. Step 5: Solve for x
    x = 64,551,056,761/117,603
  6. Step 6: Final answer
    x = 548,889.54

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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.