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Finding the Third Proportional to 132,381 and 172,003.50

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Solution

The third proportional to 132,381 and 172,003.50 is: 223,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,381 : 172,003.50 = 172,003.50 : x
  2. Step 2: Convert to fraction form
    132,381/172,003.50 = 172,003.50/x
  3. Step 3: Cross multiply
    132,381x = 172,003.50 × 172,003.50
  4. Step 4: Simplify right side
    132,381x = 29,585,204,012.25
  5. Step 5: Solve for x
    x = 29,585,204,012.25/132,381
  6. Step 6: Final answer
    x = 223,485.27

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.