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Finding the Third Proportional to 82,008.75 and 122,585.25

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Solution

The third proportional to 82,008.75 and 122,585.25 is: 183,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,008.75 : 122,585.25 = 122,585.25 : x
  2. Step 2: Convert to fraction form
    82,008.75/122,585.25 = 122,585.25/x
  3. Step 3: Cross multiply
    82,008.75x = 122,585.25 × 122,585.25
  4. Step 4: Simplify right side
    82,008.75x = 15,027,143,517.56
  5. Step 5: Solve for x
    x = 15,027,143,517.56/82,008.75
  6. Step 6: Final answer
    x = 183,238.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.