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Finding the Third Proportional to 52,696.50 and 81,231.75

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Solution

The third proportional to 52,696.50 and 81,231.75 is: 125,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,696.50 : 81,231.75 = 81,231.75 : x
  2. Step 2: Convert to fraction form
    52,696.50/81,231.75 = 81,231.75/x
  3. Step 3: Cross multiply
    52,696.50x = 81,231.75 × 81,231.75
  4. Step 4: Simplify right side
    52,696.50x = 6,598,597,208.06
  5. Step 5: Solve for x
    x = 6,598,597,208.06/52,696.50
  6. Step 6: Final answer
    x = 125,218.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.