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Finding the Third Proportional to 72,741 and 156,549

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Solution

The third proportional to 72,741 and 156,549 is: 336,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,741 : 156,549 = 156,549 : x
  2. Step 2: Convert to fraction form
    72,741/156,549 = 156,549/x
  3. Step 3: Cross multiply
    72,741x = 156,549 × 156,549
  4. Step 4: Simplify right side
    72,741x = 24,507,589,401
  5. Step 5: Solve for x
    x = 24,507,589,401/72,741
  6. Step 6: Final answer
    x = 336,915.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.