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Finding the Third Proportional to 57,214 and 119,659.50

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Solution

The third proportional to 57,214 and 119,659.50 is: 250,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214 : 119,659.50 = 119,659.50 : x
  2. Step 2: Convert to fraction form
    57,214/119,659.50 = 119,659.50/x
  3. Step 3: Cross multiply
    57,214x = 119,659.50 × 119,659.50
  4. Step 4: Simplify right side
    57,214x = 14,318,395,940.25
  5. Step 5: Solve for x
    x = 14,318,395,940.25/57,214
  6. Step 6: Final answer
    x = 250,260.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.