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Finding the Third Proportional to 65,020.50 and 102,984.75

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Solution

The third proportional to 65,020.50 and 102,984.75 is: 163,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020.50 : 102,984.75 = 102,984.75 : x
  2. Step 2: Convert to fraction form
    65,020.50/102,984.75 = 102,984.75/x
  3. Step 3: Cross multiply
    65,020.50x = 102,984.75 × 102,984.75
  4. Step 4: Simplify right side
    65,020.50x = 10,605,858,732.56
  5. Step 5: Solve for x
    x = 10,605,858,732.56/65,020.50
  6. Step 6: Final answer
    x = 163,115.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.