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Finding the Third Proportional to 82,930 and 124,993

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Solution

The third proportional to 82,930 and 124,993 is: 188,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,930 : 124,993 = 124,993 : x
  2. Step 2: Convert to fraction form
    82,930/124,993 = 124,993/x
  3. Step 3: Cross multiply
    82,930x = 124,993 × 124,993
  4. Step 4: Simplify right side
    82,930x = 15,623,250,049
  5. Step 5: Solve for x
    x = 15,623,250,049/82,930
  6. Step 6: Final answer
    x = 188,390.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.