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Finding the Third Proportional to 25,559 and 54,196

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Solution

The third proportional to 25,559 and 54,196 is: 114,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,559 : 54,196 = 54,196 : x
  2. Step 2: Convert to fraction form
    25,559/54,196 = 54,196/x
  3. Step 3: Cross multiply
    25,559x = 54,196 × 54,196
  4. Step 4: Simplify right side
    25,559x = 2,937,206,416
  5. Step 5: Solve for x
    x = 2,937,206,416/25,559
  6. Step 6: Final answer
    x = 114,918.68

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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.