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Finding the Third Proportional to 52,780.50 and 115,029

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Solution

The third proportional to 52,780.50 and 115,029 is: 250,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,780.50 : 115,029 = 115,029 : x
  2. Step 2: Convert to fraction form
    52,780.50/115,029 = 115,029/x
  3. Step 3: Cross multiply
    52,780.50x = 115,029 × 115,029
  4. Step 4: Simplify right side
    52,780.50x = 13,231,670,841
  5. Step 5: Solve for x
    x = 13,231,670,841/52,780.50
  6. Step 6: Final answer
    x = 250,692.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.