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Finding the Third Proportional to 42,406.88 and 89,172

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Solution

The third proportional to 42,406.88 and 89,172 is: 187,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.88 : 89,172 = 89,172 : x
  2. Step 2: Convert to fraction form
    42,406.88/89,172 = 89,172/x
  3. Step 3: Cross multiply
    42,406.88x = 89,172 × 89,172
  4. Step 4: Simplify right side
    42,406.88x = 7,951,645,584
  5. Step 5: Solve for x
    x = 7,951,645,584/42,406.88
  6. Step 6: Final answer
    x = 187,508.41

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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.