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Finding the Third Proportional to 132,876 and 179,012.25

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Solution

The third proportional to 132,876 and 179,012.25 is: 241,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,876 : 179,012.25 = 179,012.25 : x
  2. Step 2: Convert to fraction form
    132,876/179,012.25 = 179,012.25/x
  3. Step 3: Cross multiply
    132,876x = 179,012.25 × 179,012.25
  4. Step 4: Simplify right side
    132,876x = 32,045,385,650.06
  5. Step 5: Solve for x
    x = 32,045,385,650.06/132,876
  6. Step 6: Final answer
    x = 241,167.60

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.