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Finding the Third Proportional to 140,042 and 210,166

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Solution

The third proportional to 140,042 and 210,166 is: 315,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,042 : 210,166 = 210,166 : x
  2. Step 2: Convert to fraction form
    140,042/210,166 = 210,166/x
  3. Step 3: Cross multiply
    140,042x = 210,166 × 210,166
  4. Step 4: Simplify right side
    140,042x = 44,169,747,556
  5. Step 5: Solve for x
    x = 44,169,747,556/140,042
  6. Step 6: Final answer
    x = 315,403.58

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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.