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Finding the Third Proportional to 119,091 and 189,573

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Solution

The third proportional to 119,091 and 189,573 is: 301,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,091 : 189,573 = 189,573 : x
  2. Step 2: Convert to fraction form
    119,091/189,573 = 189,573/x
  3. Step 3: Cross multiply
    119,091x = 189,573 × 189,573
  4. Step 4: Simplify right side
    119,091x = 35,937,922,329
  5. Step 5: Solve for x
    x = 35,937,922,329/119,091
  6. Step 6: Final answer
    x = 301,768.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.