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Finding the Third Proportional to 53,168 and 82,265

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Solution

The third proportional to 53,168 and 82,265 is: 127,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,168 : 82,265 = 82,265 : x
  2. Step 2: Convert to fraction form
    53,168/82,265 = 82,265/x
  3. Step 3: Cross multiply
    53,168x = 82,265 × 82,265
  4. Step 4: Simplify right side
    53,168x = 6,767,530,225
  5. Step 5: Solve for x
    x = 6,767,530,225/53,168
  6. Step 6: Final answer
    x = 127,285.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.