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Finding the Third Proportional to 142,262 and 190,917

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Solution

The third proportional to 142,262 and 190,917 is: 256,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,262 : 190,917 = 190,917 : x
  2. Step 2: Convert to fraction form
    142,262/190,917 = 190,917/x
  3. Step 3: Cross multiply
    142,262x = 190,917 × 190,917
  4. Step 4: Simplify right side
    142,262x = 36,449,300,889
  5. Step 5: Solve for x
    x = 36,449,300,889/142,262
  6. Step 6: Final answer
    x = 256,212.49

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.