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Finding the Third Proportional to 26,506 and 56,172

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Solution

The third proportional to 26,506 and 56,172 is: 119,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506 : 56,172 = 56,172 : x
  2. Step 2: Convert to fraction form
    26,506/56,172 = 56,172/x
  3. Step 3: Cross multiply
    26,506x = 56,172 × 56,172
  4. Step 4: Simplify right side
    26,506x = 3,155,293,584
  5. Step 5: Solve for x
    x = 3,155,293,584/26,506
  6. Step 6: Final answer
    x = 119,040.73

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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.