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Finding the Third Proportional to 55,098 and 120,462

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Solution

The third proportional to 55,098 and 120,462 is: 263,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,098 : 120,462 = 120,462 : x
  2. Step 2: Convert to fraction form
    55,098/120,462 = 120,462/x
  3. Step 3: Cross multiply
    55,098x = 120,462 × 120,462
  4. Step 4: Simplify right side
    55,098x = 14,511,093,444
  5. Step 5: Solve for x
    x = 14,511,093,444/55,098
  6. Step 6: Final answer
    x = 263,368.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.