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Finding the Third Proportional to 57,042 and 133,275

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Solution

The third proportional to 57,042 and 133,275 is: 311,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042 : 133,275 = 133,275 : x
  2. Step 2: Convert to fraction form
    57,042/133,275 = 133,275/x
  3. Step 3: Cross multiply
    57,042x = 133,275 × 133,275
  4. Step 4: Simplify right side
    57,042x = 17,762,225,625
  5. Step 5: Solve for x
    x = 17,762,225,625/57,042
  6. Step 6: Final answer
    x = 311,388.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.