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Finding the Third Proportional to 26,060 and 56,172

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Solution

The third proportional to 26,060 and 56,172 is: 121,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,060 : 56,172 = 56,172 : x
  2. Step 2: Convert to fraction form
    26,060/56,172 = 56,172/x
  3. Step 3: Cross multiply
    26,060x = 56,172 × 56,172
  4. Step 4: Simplify right side
    26,060x = 3,155,293,584
  5. Step 5: Solve for x
    x = 3,155,293,584/26,060
  6. Step 6: Final answer
    x = 121,078.03

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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.