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Finding the Third Proportional to 26,731 and 62,157

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Solution

The third proportional to 26,731 and 62,157 is: 144,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,731 : 62,157 = 62,157 : x
  2. Step 2: Convert to fraction form
    26,731/62,157 = 62,157/x
  3. Step 3: Cross multiply
    26,731x = 62,157 × 62,157
  4. Step 4: Simplify right side
    26,731x = 3,863,492,649
  5. Step 5: Solve for x
    x = 3,863,492,649/26,731
  6. Step 6: Final answer
    x = 144,532.29

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.