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Finding the Third Proportional to 55,126 and 121,052

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Solution

The third proportional to 55,126 and 121,052 is: 265,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,126 : 121,052 = 121,052 : x
  2. Step 2: Convert to fraction form
    55,126/121,052 = 121,052/x
  3. Step 3: Cross multiply
    55,126x = 121,052 × 121,052
  4. Step 4: Simplify right side
    55,126x = 14,653,586,704
  5. Step 5: Solve for x
    x = 14,653,586,704/55,126
  6. Step 6: Final answer
    x = 265,819.88

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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.