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Finding the Third Proportional to 89,960 and 132,023.75

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Solution

The third proportional to 89,960 and 132,023.75 is: 193,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,960 : 132,023.75 = 132,023.75 : x
  2. Step 2: Convert to fraction form
    89,960/132,023.75 = 132,023.75/x
  3. Step 3: Cross multiply
    89,960x = 132,023.75 × 132,023.75
  4. Step 4: Simplify right side
    89,960x = 17,430,270,564.06
  5. Step 5: Solve for x
    x = 17,430,270,564.06/89,960
  6. Step 6: Final answer
    x = 193,755.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.