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Finding the Third Proportional to 57,410 and 119,140

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Solution

The third proportional to 57,410 and 119,140 is: 247,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410 : 119,140 = 119,140 : x
  2. Step 2: Convert to fraction form
    57,410/119,140 = 119,140/x
  3. Step 3: Cross multiply
    57,410x = 119,140 × 119,140
  4. Step 4: Simplify right side
    57,410x = 14,194,339,600
  5. Step 5: Solve for x
    x = 14,194,339,600/57,410
  6. Step 6: Final answer
    x = 247,245.07

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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.