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Finding the Third Proportional to 52,760 and 124,546

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Solution

The third proportional to 52,760 and 124,546 is: 294,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,760 : 124,546 = 124,546 : x
  2. Step 2: Convert to fraction form
    52,760/124,546 = 124,546/x
  3. Step 3: Cross multiply
    52,760x = 124,546 × 124,546
  4. Step 4: Simplify right side
    52,760x = 15,511,706,116
  5. Step 5: Solve for x
    x = 15,511,706,116/52,760
  6. Step 6: Final answer
    x = 294,005.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.