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Finding the Third Proportional to 47,577 and 102,462

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Solution

The third proportional to 47,577 and 102,462 is: 220,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,577 : 102,462 = 102,462 : x
  2. Step 2: Convert to fraction form
    47,577/102,462 = 102,462/x
  3. Step 3: Cross multiply
    47,577x = 102,462 × 102,462
  4. Step 4: Simplify right side
    47,577x = 10,498,461,444
  5. Step 5: Solve for x
    x = 10,498,461,444/47,577
  6. Step 6: Final answer
    x = 220,662.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.