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Finding the Third Proportional to 127,940 and 192,033

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Solution

The third proportional to 127,940 and 192,033 is: 288,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,940 : 192,033 = 192,033 : x
  2. Step 2: Convert to fraction form
    127,940/192,033 = 192,033/x
  3. Step 3: Cross multiply
    127,940x = 192,033 × 192,033
  4. Step 4: Simplify right side
    127,940x = 36,876,673,089
  5. Step 5: Solve for x
    x = 36,876,673,089/127,940
  6. Step 6: Final answer
    x = 288,234.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.