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Finding the Third Proportional to 54,967 and 117,049

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Solution

The third proportional to 54,967 and 117,049 is: 249,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,967 : 117,049 = 117,049 : x
  2. Step 2: Convert to fraction form
    54,967/117,049 = 117,049/x
  3. Step 3: Cross multiply
    54,967x = 117,049 × 117,049
  4. Step 4: Simplify right side
    54,967x = 13,700,468,401
  5. Step 5: Solve for x
    x = 13,700,468,401/54,967
  6. Step 6: Final answer
    x = 249,248.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.