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Finding the Third Proportional to 53,467 and 108,229

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Solution

The third proportional to 53,467 and 108,229 is: 219,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467 : 108,229 = 108,229 : x
  2. Step 2: Convert to fraction form
    53,467/108,229 = 108,229/x
  3. Step 3: Cross multiply
    53,467x = 108,229 × 108,229
  4. Step 4: Simplify right side
    53,467x = 11,713,516,441
  5. Step 5: Solve for x
    x = 11,713,516,441/53,467
  6. Step 6: Final answer
    x = 219,079.37

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.