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Finding the Third Proportional to 34,278.50 and 75,115

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Solution

The third proportional to 34,278.50 and 75,115 is: 164,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278.50 : 75,115 = 75,115 : x
  2. Step 2: Convert to fraction form
    34,278.50/75,115 = 75,115/x
  3. Step 3: Cross multiply
    34,278.50x = 75,115 × 75,115
  4. Step 4: Simplify right side
    34,278.50x = 5,642,263,225
  5. Step 5: Solve for x
    x = 5,642,263,225/34,278.50
  6. Step 6: Final answer
    x = 164,600.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.