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Finding the Third Proportional to 31,568 and 73,090

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Solution

The third proportional to 31,568 and 73,090 is: 169,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568 : 73,090 = 73,090 : x
  2. Step 2: Convert to fraction form
    31,568/73,090 = 73,090/x
  3. Step 3: Cross multiply
    31,568x = 73,090 × 73,090
  4. Step 4: Simplify right side
    31,568x = 5,342,148,100
  5. Step 5: Solve for x
    x = 5,342,148,100/31,568
  6. Step 6: Final answer
    x = 169,226.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.