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Finding the Third Proportional to 57,102 and 137,400

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Solution

The third proportional to 57,102 and 137,400 is: 330,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102 : 137,400 = 137,400 : x
  2. Step 2: Convert to fraction form
    57,102/137,400 = 137,400/x
  3. Step 3: Cross multiply
    57,102x = 137,400 × 137,400
  4. Step 4: Simplify right side
    57,102x = 18,878,760,000
  5. Step 5: Solve for x
    x = 18,878,760,000/57,102
  6. Step 6: Final answer
    x = 330,614.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.