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Finding the Third Proportional to 54,538 and 119,486

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Solution

The third proportional to 54,538 and 119,486 is: 261,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538 : 119,486 = 119,486 : x
  2. Step 2: Convert to fraction form
    54,538/119,486 = 119,486/x
  3. Step 3: Cross multiply
    54,538x = 119,486 × 119,486
  4. Step 4: Simplify right side
    54,538x = 14,276,904,196
  5. Step 5: Solve for x
    x = 14,276,904,196/54,538
  6. Step 6: Final answer
    x = 261,779.02

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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.