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Finding the Third Proportional to 55,144 and 119,620

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Solution

The third proportional to 55,144 and 119,620 is: 259,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,144 : 119,620 = 119,620 : x
  2. Step 2: Convert to fraction form
    55,144/119,620 = 119,620/x
  3. Step 3: Cross multiply
    55,144x = 119,620 × 119,620
  4. Step 4: Simplify right side
    55,144x = 14,308,944,400
  5. Step 5: Solve for x
    x = 14,308,944,400/55,144
  6. Step 6: Final answer
    x = 259,483.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.