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Finding the Third Proportional to 54,247 and 83,827

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Solution

The third proportional to 54,247 and 83,827 is: 129,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,247 : 83,827 = 83,827 : x
  2. Step 2: Convert to fraction form
    54,247/83,827 = 83,827/x
  3. Step 3: Cross multiply
    54,247x = 83,827 × 83,827
  4. Step 4: Simplify right side
    54,247x = 7,026,965,929
  5. Step 5: Solve for x
    x = 7,026,965,929/54,247
  6. Step 6: Final answer
    x = 129,536.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.