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Finding the Third Proportional to 53,530 and 115,282

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Solution

The third proportional to 53,530 and 115,282 is: 248,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,530 : 115,282 = 115,282 : x
  2. Step 2: Convert to fraction form
    53,530/115,282 = 115,282/x
  3. Step 3: Cross multiply
    53,530x = 115,282 × 115,282
  4. Step 4: Simplify right side
    53,530x = 13,289,939,524
  5. Step 5: Solve for x
    x = 13,289,939,524/53,530
  6. Step 6: Final answer
    x = 248,270.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.