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Finding the Third Proportional to 51,988 and 114,568

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Solution

The third proportional to 51,988 and 114,568 is: 252,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988 : 114,568 = 114,568 : x
  2. Step 2: Convert to fraction form
    51,988/114,568 = 114,568/x
  3. Step 3: Cross multiply
    51,988x = 114,568 × 114,568
  4. Step 4: Simplify right side
    51,988x = 13,125,826,624
  5. Step 5: Solve for x
    x = 13,125,826,624/51,988
  6. Step 6: Final answer
    x = 252,478.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.