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Finding the Third Proportional to 121,519 and 189,956

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Solution

The third proportional to 121,519 and 189,956 is: 296,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,519 : 189,956 = 189,956 : x
  2. Step 2: Convert to fraction form
    121,519/189,956 = 189,956/x
  3. Step 3: Cross multiply
    121,519x = 189,956 × 189,956
  4. Step 4: Simplify right side
    121,519x = 36,083,281,936
  5. Step 5: Solve for x
    x = 36,083,281,936/121,519
  6. Step 6: Final answer
    x = 296,935.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.