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Finding the Third Proportional to 52,933 and 116,235

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Solution

The third proportional to 52,933 and 116,235 is: 255,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,933 : 116,235 = 116,235 : x
  2. Step 2: Convert to fraction form
    52,933/116,235 = 116,235/x
  3. Step 3: Cross multiply
    52,933x = 116,235 × 116,235
  4. Step 4: Simplify right side
    52,933x = 13,510,575,225
  5. Step 5: Solve for x
    x = 13,510,575,225/52,933
  6. Step 6: Final answer
    x = 255,239.17

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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.