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Finding the Third Proportional to 52,935 and 116,239

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Solution

The third proportional to 52,935 and 116,239 is: 255,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,935 : 116,239 = 116,239 : x
  2. Step 2: Convert to fraction form
    52,935/116,239 = 116,239/x
  3. Step 3: Cross multiply
    52,935x = 116,239 × 116,239
  4. Step 4: Simplify right side
    52,935x = 13,511,505,121
  5. Step 5: Solve for x
    x = 13,511,505,121/52,935
  6. Step 6: Final answer
    x = 255,247.10

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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.