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Finding the Third Proportional to 140,276 and 192,846

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Solution

The third proportional to 140,276 and 192,846 is: 265,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,276 : 192,846 = 192,846 : x
  2. Step 2: Convert to fraction form
    140,276/192,846 = 192,846/x
  3. Step 3: Cross multiply
    140,276x = 192,846 × 192,846
  4. Step 4: Simplify right side
    140,276x = 37,189,579,716
  5. Step 5: Solve for x
    x = 37,189,579,716/140,276
  6. Step 6: Final answer
    x = 265,117.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.