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Finding the Third Proportional to 140,060 and 210,794

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Solution

The third proportional to 140,060 and 210,794 is: 317,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,060 : 210,794 = 210,794 : x
  2. Step 2: Convert to fraction form
    140,060/210,794 = 210,794/x
  3. Step 3: Cross multiply
    140,060x = 210,794 × 210,794
  4. Step 4: Simplify right side
    140,060x = 44,434,110,436
  5. Step 5: Solve for x
    x = 44,434,110,436/140,060
  6. Step 6: Final answer
    x = 317,250.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.