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Finding the Third Proportional to 104,614 and 134,321

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Solution

The third proportional to 104,614 and 134,321 is: 172,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,614 : 134,321 = 134,321 : x
  2. Step 2: Convert to fraction form
    104,614/134,321 = 134,321/x
  3. Step 3: Cross multiply
    104,614x = 134,321 × 134,321
  4. Step 4: Simplify right side
    104,614x = 18,042,131,041
  5. Step 5: Solve for x
    x = 18,042,131,041/104,614
  6. Step 6: Final answer
    x = 172,463.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.