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Finding the Third Proportional to 55,866 and 117,477

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Solution

The third proportional to 55,866 and 117,477 is: 247,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,866 : 117,477 = 117,477 : x
  2. Step 2: Convert to fraction form
    55,866/117,477 = 117,477/x
  3. Step 3: Cross multiply
    55,866x = 117,477 × 117,477
  4. Step 4: Simplify right side
    55,866x = 13,800,845,529
  5. Step 5: Solve for x
    x = 13,800,845,529/55,866
  6. Step 6: Final answer
    x = 247,034.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.