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Finding the Third Proportional to 80,472 and 122,436

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Solution

The third proportional to 80,472 and 122,436 is: 186,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,472 : 122,436 = 122,436 : x
  2. Step 2: Convert to fraction form
    80,472/122,436 = 122,436/x
  3. Step 3: Cross multiply
    80,472x = 122,436 × 122,436
  4. Step 4: Simplify right side
    80,472x = 14,990,574,096
  5. Step 5: Solve for x
    x = 14,990,574,096/80,472
  6. Step 6: Final answer
    x = 186,283.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.