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Finding the Third Proportional to 51,592.50 and 104,841

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Solution

The third proportional to 51,592.50 and 104,841 is: 213,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,592.50 : 104,841 = 104,841 : x
  2. Step 2: Convert to fraction form
    51,592.50/104,841 = 104,841/x
  3. Step 3: Cross multiply
    51,592.50x = 104,841 × 104,841
  4. Step 4: Simplify right side
    51,592.50x = 10,991,635,281
  5. Step 5: Solve for x
    x = 10,991,635,281/51,592.50
  6. Step 6: Final answer
    x = 213,047.15

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.