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Finding the Third Proportional to 90,447.19 and 132,960.94

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Solution

The third proportional to 90,447.19 and 132,960.94 is: 195,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,447.19 : 132,960.94 = 132,960.94 : x
  2. Step 2: Convert to fraction form
    90,447.19/132,960.94 = 132,960.94/x
  3. Step 3: Cross multiply
    90,447.19x = 132,960.94 × 132,960.94
  4. Step 4: Simplify right side
    90,447.19x = 17,678,610,900.88
  5. Step 5: Solve for x
    x = 17,678,610,900.88/90,447.19
  6. Step 6: Final answer
    x = 195,457.83

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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.