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Finding the Third Proportional to 22,218 and 53,119

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Solution

The third proportional to 22,218 and 53,119 is: 126,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,218 : 53,119 = 53,119 : x
  2. Step 2: Convert to fraction form
    22,218/53,119 = 53,119/x
  3. Step 3: Cross multiply
    22,218x = 53,119 × 53,119
  4. Step 4: Simplify right side
    22,218x = 2,821,628,161
  5. Step 5: Solve for x
    x = 2,821,628,161/22,218
  6. Step 6: Final answer
    x = 126,997.40

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.