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Finding the Third Proportional to 65,519.50 and 156,019.75

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Solution

The third proportional to 65,519.50 and 156,019.75 is: 371,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,519.50 : 156,019.75 = 156,019.75 : x
  2. Step 2: Convert to fraction form
    65,519.50/156,019.75 = 156,019.75/x
  3. Step 3: Cross multiply
    65,519.50x = 156,019.75 × 156,019.75
  4. Step 4: Simplify right side
    65,519.50x = 24,342,162,390.06
  5. Step 5: Solve for x
    x = 24,342,162,390.06/65,519.50
  6. Step 6: Final answer
    x = 371,525.46

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.