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Finding the Third Proportional to 73,872 and 156,964.50

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Solution

The third proportional to 73,872 and 156,964.50 is: 333,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872 : 156,964.50 = 156,964.50 : x
  2. Step 2: Convert to fraction form
    73,872/156,964.50 = 156,964.50/x
  3. Step 3: Cross multiply
    73,872x = 156,964.50 × 156,964.50
  4. Step 4: Simplify right side
    73,872x = 24,637,854,260.25
  5. Step 5: Solve for x
    x = 24,637,854,260.25/73,872
  6. Step 6: Final answer
    x = 333,520.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.