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Finding the Third Proportional to 26,097 and 56,211

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Solution

The third proportional to 26,097 and 56,211 is: 121,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,097 : 56,211 = 56,211 : x
  2. Step 2: Convert to fraction form
    26,097/56,211 = 56,211/x
  3. Step 3: Cross multiply
    26,097x = 56,211 × 56,211
  4. Step 4: Simplify right side
    26,097x = 3,159,676,521
  5. Step 5: Solve for x
    x = 3,159,676,521/26,097
  6. Step 6: Final answer
    x = 121,074.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.