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Finding the Third Proportional to 55,458 and 121,977

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Solution

The third proportional to 55,458 and 121,977 is: 268,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,458 : 121,977 = 121,977 : x
  2. Step 2: Convert to fraction form
    55,458/121,977 = 121,977/x
  3. Step 3: Cross multiply
    55,458x = 121,977 × 121,977
  4. Step 4: Simplify right side
    55,458x = 14,878,388,529
  5. Step 5: Solve for x
    x = 14,878,388,529/55,458
  6. Step 6: Final answer
    x = 268,282.10

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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.