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Finding the Third Proportional to 54,483 and 114,882

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Solution

The third proportional to 54,483 and 114,882 is: 242,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,483 : 114,882 = 114,882 : x
  2. Step 2: Convert to fraction form
    54,483/114,882 = 114,882/x
  3. Step 3: Cross multiply
    54,483x = 114,882 × 114,882
  4. Step 4: Simplify right side
    54,483x = 13,197,873,924
  5. Step 5: Solve for x
    x = 13,197,873,924/54,483
  6. Step 6: Final answer
    x = 242,238.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.