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Finding the Third Proportional to 57,206 and 133,691

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Solution

The third proportional to 57,206 and 133,691 is: 312,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206 : 133,691 = 133,691 : x
  2. Step 2: Convert to fraction form
    57,206/133,691 = 133,691/x
  3. Step 3: Cross multiply
    57,206x = 133,691 × 133,691
  4. Step 4: Simplify right side
    57,206x = 17,873,283,481
  5. Step 5: Solve for x
    x = 17,873,283,481/57,206
  6. Step 6: Final answer
    x = 312,437.22

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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.