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Finding the Third Proportional to 90,769.50 and 137,385

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Solution

The third proportional to 90,769.50 and 137,385 is: 207,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,769.50 : 137,385 = 137,385 : x
  2. Step 2: Convert to fraction form
    90,769.50/137,385 = 137,385/x
  3. Step 3: Cross multiply
    90,769.50x = 137,385 × 137,385
  4. Step 4: Simplify right side
    90,769.50x = 18,874,638,225
  5. Step 5: Solve for x
    x = 18,874,638,225/90,769.50
  6. Step 6: Final answer
    x = 207,940.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.