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Finding the Third Proportional to 99,145.69 and 148,938.75

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Solution

The third proportional to 99,145.69 and 148,938.75 is: 223,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,145.69 : 148,938.75 = 148,938.75 : x
  2. Step 2: Convert to fraction form
    99,145.69/148,938.75 = 148,938.75/x
  3. Step 3: Cross multiply
    99,145.69x = 148,938.75 × 148,938.75
  4. Step 4: Simplify right side
    99,145.69x = 22,182,751,251.56
  5. Step 5: Solve for x
    x = 22,182,751,251.56/99,145.69
  6. Step 6: Final answer
    x = 223,738.94

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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.