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Finding the Third Proportional to 26,063 and 56,179

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Solution

The third proportional to 26,063 and 56,179 is: 121,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,063 : 56,179 = 56,179 : x
  2. Step 2: Convert to fraction form
    26,063/56,179 = 56,179/x
  3. Step 3: Cross multiply
    26,063x = 56,179 × 56,179
  4. Step 4: Simplify right side
    26,063x = 3,156,080,041
  5. Step 5: Solve for x
    x = 3,156,080,041/26,063
  6. Step 6: Final answer
    x = 121,094.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.