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Finding the Third Proportional to 54,768 and 119,648

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Solution

The third proportional to 54,768 and 119,648 is: 261,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768 : 119,648 = 119,648 : x
  2. Step 2: Convert to fraction form
    54,768/119,648 = 119,648/x
  3. Step 3: Cross multiply
    54,768x = 119,648 × 119,648
  4. Step 4: Simplify right side
    54,768x = 14,315,643,904
  5. Step 5: Solve for x
    x = 14,315,643,904/54,768
  6. Step 6: Final answer
    x = 261,387.01

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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.