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Finding the Third Proportional to 142,214 and 190,839

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Solution

The third proportional to 142,214 and 190,839 is: 256,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,214 : 190,839 = 190,839 : x
  2. Step 2: Convert to fraction form
    142,214/190,839 = 190,839/x
  3. Step 3: Cross multiply
    142,214x = 190,839 × 190,839
  4. Step 4: Simplify right side
    142,214x = 36,419,523,921
  5. Step 5: Solve for x
    x = 36,419,523,921/142,214
  6. Step 6: Final answer
    x = 256,089.58

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Why These Related Problems?

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