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Finding the Third Proportional to 75,740.50 and 106,199

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Solution

The third proportional to 75,740.50 and 106,199 is: 148,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,740.50 : 106,199 = 106,199 : x
  2. Step 2: Convert to fraction form
    75,740.50/106,199 = 106,199/x
  3. Step 3: Cross multiply
    75,740.50x = 106,199 × 106,199
  4. Step 4: Simplify right side
    75,740.50x = 11,278,227,601
  5. Step 5: Solve for x
    x = 11,278,227,601/75,740.50
  6. Step 6: Final answer
    x = 148,906.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.