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Finding the Third Proportional to 55,816.50 and 131,736

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Solution

The third proportional to 55,816.50 and 131,736 is: 310,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,816.50 : 131,736 = 131,736 : x
  2. Step 2: Convert to fraction form
    55,816.50/131,736 = 131,736/x
  3. Step 3: Cross multiply
    55,816.50x = 131,736 × 131,736
  4. Step 4: Simplify right side
    55,816.50x = 17,354,373,696
  5. Step 5: Solve for x
    x = 17,354,373,696/55,816.50
  6. Step 6: Final answer
    x = 310,918.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.