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Finding the Third Proportional to 64,078.88 and 140,497.88

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Solution

The third proportional to 64,078.88 and 140,497.88 is: 308,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,078.88 : 140,497.88 = 140,497.88 : x
  2. Step 2: Convert to fraction form
    64,078.88/140,497.88 = 140,497.88/x
  3. Step 3: Cross multiply
    64,078.88x = 140,497.88 × 140,497.88
  4. Step 4: Simplify right side
    64,078.88x = 19,739,652,879.52
  5. Step 5: Solve for x
    x = 19,739,652,879.52/64,078.88
  6. Step 6: Final answer
    x = 308,052.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.