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Finding the Third Proportional to 26,143 and 56,606

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Solution

The third proportional to 26,143 and 56,606 is: 122,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143 : 56,606 = 56,606 : x
  2. Step 2: Convert to fraction form
    26,143/56,606 = 56,606/x
  3. Step 3: Cross multiply
    26,143x = 56,606 × 56,606
  4. Step 4: Simplify right side
    26,143x = 3,204,239,236
  5. Step 5: Solve for x
    x = 3,204,239,236/26,143
  6. Step 6: Final answer
    x = 122,565.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.