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Finding the Third Proportional to 50,343 and 117,577

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Solution

The third proportional to 50,343 and 117,577 is: 274,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,343 : 117,577 = 117,577 : x
  2. Step 2: Convert to fraction form
    50,343/117,577 = 117,577/x
  3. Step 3: Cross multiply
    50,343x = 117,577 × 117,577
  4. Step 4: Simplify right side
    50,343x = 13,824,350,929
  5. Step 5: Solve for x
    x = 13,824,350,929/50,343
  6. Step 6: Final answer
    x = 274,603.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.