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Finding the Third Proportional to 99,225 and 149,748.75

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Solution

The third proportional to 99,225 and 149,748.75 is: 225,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,225 : 149,748.75 = 149,748.75 : x
  2. Step 2: Convert to fraction form
    99,225/149,748.75 = 149,748.75/x
  3. Step 3: Cross multiply
    99,225x = 149,748.75 × 149,748.75
  4. Step 4: Simplify right side
    99,225x = 22,424,688,126.56
  5. Step 5: Solve for x
    x = 22,424,688,126.56/99,225
  6. Step 6: Final answer
    x = 225,998.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.