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Finding the Third Proportional to 95,194 and 142,810

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Solution

The third proportional to 95,194 and 142,810 is: 214,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,194 : 142,810 = 142,810 : x
  2. Step 2: Convert to fraction form
    95,194/142,810 = 142,810/x
  3. Step 3: Cross multiply
    95,194x = 142,810 × 142,810
  4. Step 4: Simplify right side
    95,194x = 20,394,696,100
  5. Step 5: Solve for x
    x = 20,394,696,100/95,194
  6. Step 6: Final answer
    x = 214,243.50

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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.