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Finding the Third Proportional to 90,576.75 and 133,095.38

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Solution

The third proportional to 90,576.75 and 133,095.38 is: 195,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,576.75 : 133,095.38 = 133,095.38 : x
  2. Step 2: Convert to fraction form
    90,576.75/133,095.38 = 133,095.38/x
  3. Step 3: Cross multiply
    90,576.75x = 133,095.38 × 133,095.38
  4. Step 4: Simplify right side
    90,576.75x = 17,714,378,846.39
  5. Step 5: Solve for x
    x = 17,714,378,846.39/90,576.75
  6. Step 6: Final answer
    x = 195,573.13

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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.