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Finding the Third Proportional to 110,037 and 148,591.50

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Solution

The third proportional to 110,037 and 148,591.50 is: 200,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,037 : 148,591.50 = 148,591.50 : x
  2. Step 2: Convert to fraction form
    110,037/148,591.50 = 148,591.50/x
  3. Step 3: Cross multiply
    110,037x = 148,591.50 × 148,591.50
  4. Step 4: Simplify right side
    110,037x = 22,079,433,872.25
  5. Step 5: Solve for x
    x = 22,079,433,872.25/110,037
  6. Step 6: Final answer
    x = 200,654.63

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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.