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Finding the Third Proportional to 140,109.75 and 192,668.63

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Solution

The third proportional to 140,109.75 and 192,668.63 is: 264,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,109.75 : 192,668.63 = 192,668.63 : x
  2. Step 2: Convert to fraction form
    140,109.75/192,668.63 = 192,668.63/x
  3. Step 3: Cross multiply
    140,109.75x = 192,668.63 × 192,668.63
  4. Step 4: Simplify right side
    140,109.75x = 37,121,199,059.39
  5. Step 5: Solve for x
    x = 37,121,199,059.39/140,109.75
  6. Step 6: Final answer
    x = 264,943.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.