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Finding the Third Proportional to 52,641 and 114,149

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Solution

The third proportional to 52,641 and 114,149 is: 247,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641 : 114,149 = 114,149 : x
  2. Step 2: Convert to fraction form
    52,641/114,149 = 114,149/x
  3. Step 3: Cross multiply
    52,641x = 114,149 × 114,149
  4. Step 4: Simplify right side
    52,641x = 13,029,994,201
  5. Step 5: Solve for x
    x = 13,029,994,201/52,641
  6. Step 6: Final answer
    x = 247,525.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.