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Finding the Third Proportional to 132,000 and 179,338.50

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Solution

The third proportional to 132,000 and 179,338.50 is: 243,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,000 : 179,338.50 = 179,338.50 : x
  2. Step 2: Convert to fraction form
    132,000/179,338.50 = 179,338.50/x
  3. Step 3: Cross multiply
    132,000x = 179,338.50 × 179,338.50
  4. Step 4: Simplify right side
    132,000x = 32,162,297,582.25
  5. Step 5: Solve for x
    x = 32,162,297,582.25/132,000
  6. Step 6: Final answer
    x = 243,653.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.