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Finding the Third Proportional to 103,790.50 and 132,624

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Solution

The third proportional to 103,790.50 and 132,624 is: 169,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,790.50 : 132,624 = 132,624 : x
  2. Step 2: Convert to fraction form
    103,790.50/132,624 = 132,624/x
  3. Step 3: Cross multiply
    103,790.50x = 132,624 × 132,624
  4. Step 4: Simplify right side
    103,790.50x = 17,589,125,376
  5. Step 5: Solve for x
    x = 17,589,125,376/103,790.50
  6. Step 6: Final answer
    x = 169,467.58

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.