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Finding the Third Proportional to 57,904 and 120,416

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Solution

The third proportional to 57,904 and 120,416 is: 250,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,904 : 120,416 = 120,416 : x
  2. Step 2: Convert to fraction form
    57,904/120,416 = 120,416/x
  3. Step 3: Cross multiply
    57,904x = 120,416 × 120,416
  4. Step 4: Simplify right side
    57,904x = 14,500,013,056
  5. Step 5: Solve for x
    x = 14,500,013,056/57,904
  6. Step 6: Final answer
    x = 250,414.70

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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.