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Finding the Third Proportional to 132,162.75 and 212,800.50

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Solution

The third proportional to 132,162.75 and 212,800.50 is: 342,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,162.75 : 212,800.50 = 212,800.50 : x
  2. Step 2: Convert to fraction form
    132,162.75/212,800.50 = 212,800.50/x
  3. Step 3: Cross multiply
    132,162.75x = 212,800.50 × 212,800.50
  4. Step 4: Simplify right side
    132,162.75x = 45,284,052,800.25
  5. Step 5: Solve for x
    x = 45,284,052,800.25/132,162.75
  6. Step 6: Final answer
    x = 342,638.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.