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Finding the Third Proportional to 55,949 and 121,736

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Solution

The third proportional to 55,949 and 121,736 is: 264,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,949 : 121,736 = 121,736 : x
  2. Step 2: Convert to fraction form
    55,949/121,736 = 121,736/x
  3. Step 3: Cross multiply
    55,949x = 121,736 × 121,736
  4. Step 4: Simplify right side
    55,949x = 14,819,653,696
  5. Step 5: Solve for x
    x = 14,819,653,696/55,949
  6. Step 6: Final answer
    x = 264,877.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.