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Finding the Third Proportional to 99,769.50 and 146,736

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Solution

The third proportional to 99,769.50 and 146,736 is: 215,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769.50 : 146,736 = 146,736 : x
  2. Step 2: Convert to fraction form
    99,769.50/146,736 = 146,736/x
  3. Step 3: Cross multiply
    99,769.50x = 146,736 × 146,736
  4. Step 4: Simplify right side
    99,769.50x = 21,531,453,696
  5. Step 5: Solve for x
    x = 21,531,453,696/99,769.50
  6. Step 6: Final answer
    x = 215,811.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.