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Finding the Third Proportional to 65,331.56 and 140,448.94

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Solution

The third proportional to 65,331.56 and 140,448.94 is: 301,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,331.56 : 140,448.94 = 140,448.94 : x
  2. Step 2: Convert to fraction form
    65,331.56/140,448.94 = 140,448.94/x
  3. Step 3: Cross multiply
    65,331.56x = 140,448.94 × 140,448.94
  4. Step 4: Simplify right side
    65,331.56x = 19,725,904,044.88
  5. Step 5: Solve for x
    x = 19,725,904,044.88/65,331.56
  6. Step 6: Final answer
    x = 301,935.29

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Why These Related Problems?

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