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Finding the Third Proportional to 96,474 and 148,375.50

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Solution

The third proportional to 96,474 and 148,375.50 is: 228,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,474 : 148,375.50 = 148,375.50 : x
  2. Step 2: Convert to fraction form
    96,474/148,375.50 = 148,375.50/x
  3. Step 3: Cross multiply
    96,474x = 148,375.50 × 148,375.50
  4. Step 4: Simplify right side
    96,474x = 22,015,289,000.25
  5. Step 5: Solve for x
    x = 22,015,289,000.25/96,474
  6. Step 6: Final answer
    x = 228,199.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.