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Finding the Third Proportional to 53,330 and 113,218.75

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Solution

The third proportional to 53,330 and 113,218.75 is: 240,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,330 : 113,218.75 = 113,218.75 : x
  2. Step 2: Convert to fraction form
    53,330/113,218.75 = 113,218.75/x
  3. Step 3: Cross multiply
    53,330x = 113,218.75 × 113,218.75
  4. Step 4: Simplify right side
    53,330x = 12,818,485,351.56
  5. Step 5: Solve for x
    x = 12,818,485,351.56/53,330
  6. Step 6: Final answer
    x = 240,361.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.