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Finding the Third Proportional to 71,905.88 and 156,789.75

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Solution

The third proportional to 71,905.88 and 156,789.75 is: 341,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,905.88 : 156,789.75 = 156,789.75 : x
  2. Step 2: Convert to fraction form
    71,905.88/156,789.75 = 156,789.75/x
  3. Step 3: Cross multiply
    71,905.88x = 156,789.75 × 156,789.75
  4. Step 4: Simplify right side
    71,905.88x = 24,583,025,705.06
  5. Step 5: Solve for x
    x = 24,583,025,705.06/71,905.88
  6. Step 6: Final answer
    x = 341,877.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.