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Finding the Third Proportional to 49,400 and 108,170

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Solution

The third proportional to 49,400 and 108,170 is: 236,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,400 : 108,170 = 108,170 : x
  2. Step 2: Convert to fraction form
    49,400/108,170 = 108,170/x
  3. Step 3: Cross multiply
    49,400x = 108,170 × 108,170
  4. Step 4: Simplify right side
    49,400x = 11,700,748,900
  5. Step 5: Solve for x
    x = 11,700,748,900/49,400
  6. Step 6: Final answer
    x = 236,857.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.