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Finding the Third Proportional to 26,085 and 56,247

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Solution

The third proportional to 26,085 and 56,247 is: 121,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,085 : 56,247 = 56,247 : x
  2. Step 2: Convert to fraction form
    26,085/56,247 = 56,247/x
  3. Step 3: Cross multiply
    26,085x = 56,247 × 56,247
  4. Step 4: Simplify right side
    26,085x = 3,163,725,009
  5. Step 5: Solve for x
    x = 3,163,725,009/26,085
  6. Step 6: Final answer
    x = 121,285.22

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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.