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Finding the Third Proportional to 132,716 and 205,500

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Solution

The third proportional to 132,716 and 205,500 is: 318,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,716 : 205,500 = 205,500 : x
  2. Step 2: Convert to fraction form
    132,716/205,500 = 205,500/x
  3. Step 3: Cross multiply
    132,716x = 205,500 × 205,500
  4. Step 4: Simplify right side
    132,716x = 42,230,250,000
  5. Step 5: Solve for x
    x = 42,230,250,000/132,716
  6. Step 6: Final answer
    x = 318,200.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.