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Finding the Third Proportional to 65,982.94 and 145,087.03

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Solution

The third proportional to 65,982.94 and 145,087.03 is: 319,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,982.94 : 145,087.03 = 145,087.03 : x
  2. Step 2: Convert to fraction form
    65,982.94/145,087.03 = 145,087.03/x
  3. Step 3: Cross multiply
    65,982.94x = 145,087.03 × 145,087.03
  4. Step 4: Simplify right side
    65,982.94x = 21,050,246,636.94
  5. Step 5: Solve for x
    x = 21,050,246,636.94/65,982.94
  6. Step 6: Final answer
    x = 319,025.61

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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.