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Finding the Third Proportional to 76,189 and 115,982

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Solution

The third proportional to 76,189 and 115,982 is: 176,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,189 : 115,982 = 115,982 : x
  2. Step 2: Convert to fraction form
    76,189/115,982 = 115,982/x
  3. Step 3: Cross multiply
    76,189x = 115,982 × 115,982
  4. Step 4: Simplify right side
    76,189x = 13,451,824,324
  5. Step 5: Solve for x
    x = 13,451,824,324/76,189
  6. Step 6: Final answer
    x = 176,558.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.