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Finding the Third Proportional to 57,800 and 119,476

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Solution

The third proportional to 57,800 and 119,476 is: 246,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,800 : 119,476 = 119,476 : x
  2. Step 2: Convert to fraction form
    57,800/119,476 = 119,476/x
  3. Step 3: Cross multiply
    57,800x = 119,476 × 119,476
  4. Step 4: Simplify right side
    57,800x = 14,274,514,576
  5. Step 5: Solve for x
    x = 14,274,514,576/57,800
  6. Step 6: Final answer
    x = 246,963.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.