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Finding the Third Proportional to 54,963 and 119,767

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Solution

The third proportional to 54,963 and 119,767 is: 260,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,963 : 119,767 = 119,767 : x
  2. Step 2: Convert to fraction form
    54,963/119,767 = 119,767/x
  3. Step 3: Cross multiply
    54,963x = 119,767 × 119,767
  4. Step 4: Simplify right side
    54,963x = 14,344,134,289
  5. Step 5: Solve for x
    x = 14,344,134,289/54,963
  6. Step 6: Final answer
    x = 260,978.01

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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.