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Finding the Third Proportional to 57,416 and 119,152

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Solution

The third proportional to 57,416 and 119,152 is: 247,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,416 : 119,152 = 119,152 : x
  2. Step 2: Convert to fraction form
    57,416/119,152 = 119,152/x
  3. Step 3: Cross multiply
    57,416x = 119,152 × 119,152
  4. Step 4: Simplify right side
    57,416x = 14,197,199,104
  5. Step 5: Solve for x
    x = 14,197,199,104/57,416
  6. Step 6: Final answer
    x = 247,269.04

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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.