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Finding the Third Proportional to 119,902 and 243,166

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Solution

The third proportional to 119,902 and 243,166 is: 493,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,902 : 243,166 = 243,166 : x
  2. Step 2: Convert to fraction form
    119,902/243,166 = 243,166/x
  3. Step 3: Cross multiply
    119,902x = 243,166 × 243,166
  4. Step 4: Simplify right side
    119,902x = 59,129,703,556
  5. Step 5: Solve for x
    x = 59,129,703,556/119,902
  6. Step 6: Final answer
    x = 493,150.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.