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Finding the Third Proportional to 73,996 and 108,229

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Solution

The third proportional to 73,996 and 108,229 is: 158,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,996 : 108,229 = 108,229 : x
  2. Step 2: Convert to fraction form
    73,996/108,229 = 108,229/x
  3. Step 3: Cross multiply
    73,996x = 108,229 × 108,229
  4. Step 4: Simplify right side
    73,996x = 11,713,516,441
  5. Step 5: Solve for x
    x = 11,713,516,441/73,996
  6. Step 6: Final answer
    x = 158,299.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.