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Finding the Third Proportional to 54,641 and 120,121

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Solution

The third proportional to 54,641 and 120,121 is: 264,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641 : 120,121 = 120,121 : x
  2. Step 2: Convert to fraction form
    54,641/120,121 = 120,121/x
  3. Step 3: Cross multiply
    54,641x = 120,121 × 120,121
  4. Step 4: Simplify right side
    54,641x = 14,429,054,641
  5. Step 5: Solve for x
    x = 14,429,054,641/54,641
  6. Step 6: Final answer
    x = 264,070.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.