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Finding the Third Proportional to 100,447.50 and 136,419.75

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Solution

The third proportional to 100,447.50 and 136,419.75 is: 185,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,447.50 : 136,419.75 = 136,419.75 : x
  2. Step 2: Convert to fraction form
    100,447.50/136,419.75 = 136,419.75/x
  3. Step 3: Cross multiply
    100,447.50x = 136,419.75 × 136,419.75
  4. Step 4: Simplify right side
    100,447.50x = 18,610,348,190.06
  5. Step 5: Solve for x
    x = 18,610,348,190.06/100,447.50
  6. Step 6: Final answer
    x = 185,274.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.