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Finding the Third Proportional to 42,583.88 and 89,579.75

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Solution

The third proportional to 42,583.88 and 89,579.75 is: 188,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,583.88 : 89,579.75 = 89,579.75 : x
  2. Step 2: Convert to fraction form
    42,583.88/89,579.75 = 89,579.75/x
  3. Step 3: Cross multiply
    42,583.88x = 89,579.75 × 89,579.75
  4. Step 4: Simplify right side
    42,583.88x = 8,024,531,610.06
  5. Step 5: Solve for x
    x = 8,024,531,610.06/42,583.88
  6. Step 6: Final answer
    x = 188,440.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.