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Finding the Third Proportional to 52,976 and 116,068

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Solution

The third proportional to 52,976 and 116,068 is: 254,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,976 : 116,068 = 116,068 : x
  2. Step 2: Convert to fraction form
    52,976/116,068 = 116,068/x
  3. Step 3: Cross multiply
    52,976x = 116,068 × 116,068
  4. Step 4: Simplify right side
    52,976x = 13,471,780,624
  5. Step 5: Solve for x
    x = 13,471,780,624/52,976
  6. Step 6: Final answer
    x = 254,299.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.