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Finding the Third Proportional to 57,880 and 125,476

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Solution

The third proportional to 57,880 and 125,476 is: 272,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,880 : 125,476 = 125,476 : x
  2. Step 2: Convert to fraction form
    57,880/125,476 = 125,476/x
  3. Step 3: Cross multiply
    57,880x = 125,476 × 125,476
  4. Step 4: Simplify right side
    57,880x = 15,744,226,576
  5. Step 5: Solve for x
    x = 15,744,226,576/57,880
  6. Step 6: Final answer
    x = 272,014.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.