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Finding the Third Proportional to 57,573 and 135,711

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Solution

The third proportional to 57,573 and 135,711 is: 319,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,573 : 135,711 = 135,711 : x
  2. Step 2: Convert to fraction form
    57,573/135,711 = 135,711/x
  3. Step 3: Cross multiply
    57,573x = 135,711 × 135,711
  4. Step 4: Simplify right side
    57,573x = 18,417,475,521
  5. Step 5: Solve for x
    x = 18,417,475,521/57,573
  6. Step 6: Final answer
    x = 319,897.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.