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Finding the Third Proportional to 82,539 and 136,563.75

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Solution

The third proportional to 82,539 and 136,563.75 is: 225,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,539 : 136,563.75 = 136,563.75 : x
  2. Step 2: Convert to fraction form
    82,539/136,563.75 = 136,563.75/x
  3. Step 3: Cross multiply
    82,539x = 136,563.75 × 136,563.75
  4. Step 4: Simplify right side
    82,539x = 18,649,657,814.06
  5. Step 5: Solve for x
    x = 18,649,657,814.06/82,539
  6. Step 6: Final answer
    x = 225,949.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.