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Finding the Third Proportional to 85,572.75 and 190,821.56

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Solution

The third proportional to 85,572.75 and 190,821.56 is: 425,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,572.75 : 190,821.56 = 190,821.56 : x
  2. Step 2: Convert to fraction form
    85,572.75/190,821.56 = 190,821.56/x
  3. Step 3: Cross multiply
    85,572.75x = 190,821.56 × 190,821.56
  4. Step 4: Simplify right side
    85,572.75x = 36,412,868,714.94
  5. Step 5: Solve for x
    x = 36,412,868,714.94/85,572.75
  6. Step 6: Final answer
    x = 425,519.44

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.