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Finding the Third Proportional to 89,960 and 132,021.50

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Solution

The third proportional to 89,960 and 132,021.50 is: 193,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,960 : 132,021.50 = 132,021.50 : x
  2. Step 2: Convert to fraction form
    89,960/132,021.50 = 132,021.50/x
  3. Step 3: Cross multiply
    89,960x = 132,021.50 × 132,021.50
  4. Step 4: Simplify right side
    89,960x = 17,429,676,462.25
  5. Step 5: Solve for x
    x = 17,429,676,462.25/89,960
  6. Step 6: Final answer
    x = 193,749.18

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