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Finding the Third Proportional to 81,805.50 and 117,822.75

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Solution

The third proportional to 81,805.50 and 117,822.75 is: 169,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.50 : 117,822.75 = 117,822.75 : x
  2. Step 2: Convert to fraction form
    81,805.50/117,822.75 = 117,822.75/x
  3. Step 3: Cross multiply
    81,805.50x = 117,822.75 × 117,822.75
  4. Step 4: Simplify right side
    81,805.50x = 13,882,200,417.56
  5. Step 5: Solve for x
    x = 13,882,200,417.56/81,805.50
  6. Step 6: Final answer
    x = 169,697.64

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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.