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Finding the Third Proportional to 55,595 and 122,262

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Solution

The third proportional to 55,595 and 122,262 is: 268,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,595 : 122,262 = 122,262 : x
  2. Step 2: Convert to fraction form
    55,595/122,262 = 122,262/x
  3. Step 3: Cross multiply
    55,595x = 122,262 × 122,262
  4. Step 4: Simplify right side
    55,595x = 14,947,996,644
  5. Step 5: Solve for x
    x = 14,947,996,644/55,595
  6. Step 6: Final answer
    x = 268,873.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.