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Finding the Third Proportional to 82,986 and 119,295

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Solution

The third proportional to 82,986 and 119,295 is: 171,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,986 : 119,295 = 119,295 : x
  2. Step 2: Convert to fraction form
    82,986/119,295 = 119,295/x
  3. Step 3: Cross multiply
    82,986x = 119,295 × 119,295
  4. Step 4: Simplify right side
    82,986x = 14,231,297,025
  5. Step 5: Solve for x
    x = 14,231,297,025/82,986
  6. Step 6: Final answer
    x = 171,490.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.