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Finding the Third Proportional to 119,096 and 247,992.50

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Solution

The third proportional to 119,096 and 247,992.50 is: 516,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,096 : 247,992.50 = 247,992.50 : x
  2. Step 2: Convert to fraction form
    119,096/247,992.50 = 247,992.50/x
  3. Step 3: Cross multiply
    119,096x = 247,992.50 × 247,992.50
  4. Step 4: Simplify right side
    119,096x = 61,500,280,056.25
  5. Step 5: Solve for x
    x = 61,500,280,056.25/119,096
  6. Step 6: Final answer
    x = 516,392.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.