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Finding the Third Proportional to 90,769.50 and 117,837

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Solution

The third proportional to 90,769.50 and 117,837 is: 152,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,769.50 : 117,837 = 117,837 : x
  2. Step 2: Convert to fraction form
    90,769.50/117,837 = 117,837/x
  3. Step 3: Cross multiply
    90,769.50x = 117,837 × 117,837
  4. Step 4: Simplify right side
    90,769.50x = 13,885,558,569
  5. Step 5: Solve for x
    x = 13,885,558,569/90,769.50
  6. Step 6: Final answer
    x = 152,976.04

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.