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Finding the Third Proportional to 57,602 and 137,381

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Solution

The third proportional to 57,602 and 137,381 is: 327,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602 : 137,381 = 137,381 : x
  2. Step 2: Convert to fraction form
    57,602/137,381 = 137,381/x
  3. Step 3: Cross multiply
    57,602x = 137,381 × 137,381
  4. Step 4: Simplify right side
    57,602x = 18,873,539,161
  5. Step 5: Solve for x
    x = 18,873,539,161/57,602
  6. Step 6: Final answer
    x = 327,654.23

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.