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Finding the Third Proportional to 116,805 and 182,993

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Solution

The third proportional to 116,805 and 182,993 is: 286,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,805 : 182,993 = 182,993 : x
  2. Step 2: Convert to fraction form
    116,805/182,993 = 182,993/x
  3. Step 3: Cross multiply
    116,805x = 182,993 × 182,993
  4. Step 4: Simplify right side
    116,805x = 33,486,438,049
  5. Step 5: Solve for x
    x = 33,486,438,049/116,805
  6. Step 6: Final answer
    x = 286,686.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.