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Finding the Third Proportional to 95,190 and 142,804

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Solution

The third proportional to 95,190 and 142,804 is: 214,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,190 : 142,804 = 142,804 : x
  2. Step 2: Convert to fraction form
    95,190/142,804 = 142,804/x
  3. Step 3: Cross multiply
    95,190x = 142,804 × 142,804
  4. Step 4: Simplify right side
    95,190x = 20,392,982,416
  5. Step 5: Solve for x
    x = 20,392,982,416/95,190
  6. Step 6: Final answer
    x = 214,234.50

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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.