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Finding the Third Proportional to 54,804 and 119,754

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Solution

The third proportional to 54,804 and 119,754 is: 261,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804 : 119,754 = 119,754 : x
  2. Step 2: Convert to fraction form
    54,804/119,754 = 119,754/x
  3. Step 3: Cross multiply
    54,804x = 119,754 × 119,754
  4. Step 4: Simplify right side
    54,804x = 14,341,020,516
  5. Step 5: Solve for x
    x = 14,341,020,516/54,804
  6. Step 6: Final answer
    x = 261,678.35

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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.