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Finding the Third Proportional to 31,570 and 73,092

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Solution

The third proportional to 31,570 and 73,092 is: 169,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570 : 73,092 = 73,092 : x
  2. Step 2: Convert to fraction form
    31,570/73,092 = 73,092/x
  3. Step 3: Cross multiply
    31,570x = 73,092 × 73,092
  4. Step 4: Simplify right side
    31,570x = 5,342,440,464
  5. Step 5: Solve for x
    x = 5,342,440,464/31,570
  6. Step 6: Final answer
    x = 169,225.23

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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.