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Finding the Third Proportional to 89,700.75 and 185,051.25

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Solution

The third proportional to 89,700.75 and 185,051.25 is: 381,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,700.75 : 185,051.25 = 185,051.25 : x
  2. Step 2: Convert to fraction form
    89,700.75/185,051.25 = 185,051.25/x
  3. Step 3: Cross multiply
    89,700.75x = 185,051.25 × 185,051.25
  4. Step 4: Simplify right side
    89,700.75x = 34,243,965,126.56
  5. Step 5: Solve for x
    x = 34,243,965,126.56/89,700.75
  6. Step 6: Final answer
    x = 381,757.85

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.