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Finding the Third Proportional to 54,804.94 and 119,528.16

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Solution

The third proportional to 54,804.94 and 119,528.16 is: 260,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804.94 : 119,528.16 = 119,528.16 : x
  2. Step 2: Convert to fraction form
    54,804.94/119,528.16 = 119,528.16/x
  3. Step 3: Cross multiply
    54,804.94x = 119,528.16 × 119,528.16
  4. Step 4: Simplify right side
    54,804.94x = 14,286,980,136.52
  5. Step 5: Solve for x
    x = 14,286,980,136.52/54,804.94
  6. Step 6: Final answer
    x = 260,687.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.