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Finding the Third Proportional to 55,996 and 122,260

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Solution

The third proportional to 55,996 and 122,260 is: 266,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,996 : 122,260 = 122,260 : x
  2. Step 2: Convert to fraction form
    55,996/122,260 = 122,260/x
  3. Step 3: Cross multiply
    55,996x = 122,260 × 122,260
  4. Step 4: Simplify right side
    55,996x = 14,947,507,600
  5. Step 5: Solve for x
    x = 14,947,507,600/55,996
  6. Step 6: Final answer
    x = 266,938.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.