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Finding the Third Proportional to 54,574 and 119,538

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Solution

The third proportional to 54,574 and 119,538 is: 261,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,574 : 119,538 = 119,538 : x
  2. Step 2: Convert to fraction form
    54,574/119,538 = 119,538/x
  3. Step 3: Cross multiply
    54,574x = 119,538 × 119,538
  4. Step 4: Simplify right side
    54,574x = 14,289,333,444
  5. Step 5: Solve for x
    x = 14,289,333,444/54,574
  6. Step 6: Final answer
    x = 261,834.09

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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.