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Finding the Third Proportional to 82,150.45 and 119,993.91

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Solution

The third proportional to 82,150.45 and 119,993.91 is: 175,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,150.45 : 119,993.91 = 119,993.91 : x
  2. Step 2: Convert to fraction form
    82,150.45/119,993.91 = 119,993.91/x
  3. Step 3: Cross multiply
    82,150.45x = 119,993.91 × 119,993.91
  4. Step 4: Simplify right side
    82,150.45x = 14,398,537,537.13
  5. Step 5: Solve for x
    x = 14,398,537,537.13/82,150.45
  6. Step 6: Final answer
    x = 175,270.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.