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Finding the Third Proportional to 116,405 and 172,425

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Solution

The third proportional to 116,405 and 172,425 is: 255,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,405 : 172,425 = 172,425 : x
  2. Step 2: Convert to fraction form
    116,405/172,425 = 172,425/x
  3. Step 3: Cross multiply
    116,405x = 172,425 × 172,425
  4. Step 4: Simplify right side
    116,405x = 29,730,380,625
  5. Step 5: Solve for x
    x = 29,730,380,625/116,405
  6. Step 6: Final answer
    x = 255,404.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.