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Finding the Third Proportional to 72,700 and 156,536

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Solution

The third proportional to 72,700 and 156,536 is: 337,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,700 : 156,536 = 156,536 : x
  2. Step 2: Convert to fraction form
    72,700/156,536 = 156,536/x
  3. Step 3: Cross multiply
    72,700x = 156,536 × 156,536
  4. Step 4: Simplify right side
    72,700x = 24,503,519,296
  5. Step 5: Solve for x
    x = 24,503,519,296/72,700
  6. Step 6: Final answer
    x = 337,049.78

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