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Finding the Third Proportional to 99,733.50 and 149,675

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Solution

The third proportional to 99,733.50 and 149,675 is: 224,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,733.50 : 149,675 = 149,675 : x
  2. Step 2: Convert to fraction form
    99,733.50/149,675 = 149,675/x
  3. Step 3: Cross multiply
    99,733.50x = 149,675 × 149,675
  4. Step 4: Simplify right side
    99,733.50x = 22,402,605,625
  5. Step 5: Solve for x
    x = 22,402,605,625/99,733.50
  6. Step 6: Final answer
    x = 224,624.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.