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Finding the Third Proportional to 101,441.50 and 148,406

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Solution

The third proportional to 101,441.50 and 148,406 is: 217,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,441.50 : 148,406 = 148,406 : x
  2. Step 2: Convert to fraction form
    101,441.50/148,406 = 148,406/x
  3. Step 3: Cross multiply
    101,441.50x = 148,406 × 148,406
  4. Step 4: Simplify right side
    101,441.50x = 22,024,340,836
  5. Step 5: Solve for x
    x = 22,024,340,836/101,441.50
  6. Step 6: Final answer
    x = 217,113.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.