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Finding the Third Proportional to 76,616.50 and 162,447.75

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Solution

The third proportional to 76,616.50 and 162,447.75 is: 344,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,616.50 : 162,447.75 = 162,447.75 : x
  2. Step 2: Convert to fraction form
    76,616.50/162,447.75 = 162,447.75/x
  3. Step 3: Cross multiply
    76,616.50x = 162,447.75 × 162,447.75
  4. Step 4: Simplify right side
    76,616.50x = 26,389,271,480.06
  5. Step 5: Solve for x
    x = 26,389,271,480.06/76,616.50
  6. Step 6: Final answer
    x = 344,433.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.