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Finding the Third Proportional to 90,469.13 and 132,995.81

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Solution

The third proportional to 90,469.13 and 132,995.81 is: 195,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,469.13 : 132,995.81 = 132,995.81 : x
  2. Step 2: Convert to fraction form
    90,469.13/132,995.81 = 132,995.81/x
  3. Step 3: Cross multiply
    90,469.13x = 132,995.81 × 132,995.81
  4. Step 4: Simplify right side
    90,469.13x = 17,687,886,142.54
  5. Step 5: Solve for x
    x = 17,687,886,142.54/90,469.13
  6. Step 6: Final answer
    x = 195,512.96

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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.