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Finding the Third Proportional to 42,251.63 and 89,889.75

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Solution

The third proportional to 42,251.63 and 89,889.75 is: 191,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,251.63 : 89,889.75 = 89,889.75 : x
  2. Step 2: Convert to fraction form
    42,251.63/89,889.75 = 89,889.75/x
  3. Step 3: Cross multiply
    42,251.63x = 89,889.75 × 89,889.75
  4. Step 4: Simplify right side
    42,251.63x = 8,080,167,155.06
  5. Step 5: Solve for x
    x = 8,080,167,155.06/42,251.63
  6. Step 6: Final answer
    x = 191,239.20

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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.