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Finding the Third Proportional to 26,489 and 56,137

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Solution

The third proportional to 26,489 and 56,137 is: 118,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,489 : 56,137 = 56,137 : x
  2. Step 2: Convert to fraction form
    26,489/56,137 = 56,137/x
  3. Step 3: Cross multiply
    26,489x = 56,137 × 56,137
  4. Step 4: Simplify right side
    26,489x = 3,151,362,769
  5. Step 5: Solve for x
    x = 3,151,362,769/26,489
  6. Step 6: Final answer
    x = 118,968.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.