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Finding the Third Proportional to 34,770.50 and 75,085

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Solution

The third proportional to 34,770.50 and 75,085 is: 162,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.50 : 75,085 = 75,085 : x
  2. Step 2: Convert to fraction form
    34,770.50/75,085 = 75,085/x
  3. Step 3: Cross multiply
    34,770.50x = 75,085 × 75,085
  4. Step 4: Simplify right side
    34,770.50x = 5,637,757,225
  5. Step 5: Solve for x
    x = 5,637,757,225/34,770.50
  6. Step 6: Final answer
    x = 162,141.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.