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Finding the Third Proportional to 58,907 and 83,286

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Solution

The third proportional to 58,907 and 83,286 is: 117,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,907 : 83,286 = 83,286 : x
  2. Step 2: Convert to fraction form
    58,907/83,286 = 83,286/x
  3. Step 3: Cross multiply
    58,907x = 83,286 × 83,286
  4. Step 4: Simplify right side
    58,907x = 6,936,557,796
  5. Step 5: Solve for x
    x = 6,936,557,796/58,907
  6. Step 6: Final answer
    x = 117,754.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.