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Finding the Third Proportional to 26,490 and 55,137

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Solution

The third proportional to 26,490 and 55,137 is: 114,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,490 : 55,137 = 55,137 : x
  2. Step 2: Convert to fraction form
    26,490/55,137 = 55,137/x
  3. Step 3: Cross multiply
    26,490x = 55,137 × 55,137
  4. Step 4: Simplify right side
    26,490x = 3,040,088,769
  5. Step 5: Solve for x
    x = 3,040,088,769/26,490
  6. Step 6: Final answer
    x = 114,763.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.