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Finding the Third Proportional to 76,823 and 156,695

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Solution

The third proportional to 76,823 and 156,695 is: 319,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,823 : 156,695 = 156,695 : x
  2. Step 2: Convert to fraction form
    76,823/156,695 = 156,695/x
  3. Step 3: Cross multiply
    76,823x = 156,695 × 156,695
  4. Step 4: Simplify right side
    76,823x = 24,553,323,025
  5. Step 5: Solve for x
    x = 24,553,323,025/76,823
  6. Step 6: Final answer
    x = 319,609.01

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.