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Finding the Third Proportional to 40,330 and 92,569

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Solution

The third proportional to 40,330 and 92,569 is: 212,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,330 : 92,569 = 92,569 : x
  2. Step 2: Convert to fraction form
    40,330/92,569 = 92,569/x
  3. Step 3: Cross multiply
    40,330x = 92,569 × 92,569
  4. Step 4: Simplify right side
    40,330x = 8,569,019,761
  5. Step 5: Solve for x
    x = 8,569,019,761/40,330
  6. Step 6: Final answer
    x = 212,472.60

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.