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Finding the Third Proportional to 64,997.44 and 142,737.19

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Solution

The third proportional to 64,997.44 and 142,737.19 is: 313,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,997.44 : 142,737.19 = 142,737.19 : x
  2. Step 2: Convert to fraction form
    64,997.44/142,737.19 = 142,737.19/x
  3. Step 3: Cross multiply
    64,997.44x = 142,737.19 × 142,737.19
  4. Step 4: Simplify right side
    64,997.44x = 20,373,904,695.41
  5. Step 5: Solve for x
    x = 20,373,904,695.41/64,997.44
  6. Step 6: Final answer
    x = 313,457.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.