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Finding the Third Proportional to 42,253.50 and 89,892.75

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Solution

The third proportional to 42,253.50 and 89,892.75 is: 191,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,253.50 : 89,892.75 = 89,892.75 : x
  2. Step 2: Convert to fraction form
    42,253.50/89,892.75 = 89,892.75/x
  3. Step 3: Cross multiply
    42,253.50x = 89,892.75 × 89,892.75
  4. Step 4: Simplify right side
    42,253.50x = 8,080,706,502.56
  5. Step 5: Solve for x
    x = 8,080,706,502.56/42,253.50
  6. Step 6: Final answer
    x = 191,243.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.