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Finding the Third Proportional to 57,414 and 119,148

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Solution

The third proportional to 57,414 and 119,148 is: 247,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414 : 119,148 = 119,148 : x
  2. Step 2: Convert to fraction form
    57,414/119,148 = 119,148/x
  3. Step 3: Cross multiply
    57,414x = 119,148 × 119,148
  4. Step 4: Simplify right side
    57,414x = 14,196,245,904
  5. Step 5: Solve for x
    x = 14,196,245,904/57,414
  6. Step 6: Final answer
    x = 247,261.05

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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.