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Finding the Third Proportional to 52,960 and 116,036

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Solution

The third proportional to 52,960 and 116,036 is: 254,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,960 : 116,036 = 116,036 : x
  2. Step 2: Convert to fraction form
    52,960/116,036 = 116,036/x
  3. Step 3: Cross multiply
    52,960x = 116,036 × 116,036
  4. Step 4: Simplify right side
    52,960x = 13,464,353,296
  5. Step 5: Solve for x
    x = 13,464,353,296/52,960
  6. Step 6: Final answer
    x = 254,236.28

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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.